2131150402100 has 144 divisors (see below), whose sum is σ = 4904613428400. Its totient is φ = 802357248000.

The previous prime is 2131150402079. The next prime is 2131150402133. The reversal of 2131150402100 is 12040511312.

It can be written as a sum of positive squares in 24 ways, for example, as 1998728647696 + 132421754404 = 1413764^2 + 363898^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167523740 + ... + 167536460.

It is an arithmetic number, because the mean of its divisors is an integer number (34059815475).

Almost surely, 2^{2131150402100} is an apocalyptic number.

2131150402100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131150402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452306714200).

2131150402100 is an abundant number, since it is smaller than the sum of its proper divisors (2773463026300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2131150402100 is a wasteful number, since it uses less digits than its factorization.

2131150402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14214 (or 14207 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 2131150402100 its reverse (12040511312), we get a palindrome (2143190913412).

The spelling of 2131150402100 in words is "two trillion, one hundred thirty-one billion, one hundred fifty million, four hundred two thousand, one hundred".