10200100120110 has 128 divisors (see below), whose sum is σ = 27357189350400. Its totient is φ = 2704341790080.

The previous prime is 10200100120103. The next prime is 10200100120207. The reversal of 10200100120110 is 1102100100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10200100120092 and 10200100120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220820437 + ... + 220866623.

It is an arithmetic number, because the mean of its divisors is an integer number (213728041800).

Almost surely, 2^{10200100120110} is an apocalyptic number.

10200100120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200100120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13678594675200).

10200100120110 is an abundant number, since it is smaller than the sum of its proper divisors (17157089230290).

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

10200100120110 is a wasteful number, since it uses less digits than its factorization.

10200100120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50903 (or 50897 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10200100120110 its reverse (1102100100201), we get a palindrome (11302200220311).

The spelling of 10200100120110 in words is "ten trillion, two hundred billion, one hundred million, one hundred twenty thousand, one hundred ten".