101010100010100 has 288 divisors, whose sum is σ = 318602235651840. Its totient is φ = 24630144000000.

The previous prime is 101010100010089. The next prime is 101010100010119. The reversal of 101010100010100 is 1010001010101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17711100 + ... + 22709100.

It is an arithmetic number, because the mean of its divisors is an integer number (1106257762680).

Almost surely, 2^{101010100010100} is an apocalyptic number.

101010100010100 is a gapful number since it is divisible by the number (10) 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 101010100010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159301117825920).

101010100010100 is an abundant number, since it is smaller than the sum of its proper divisors (217592135641740).

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

101010100010100 is a wasteful number, since it uses less digits than its factorization.

101010100010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998171 (or 4998164 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101010100010100 its reverse (1010001010101), we get a palindrome (102020101020201).

The spelling of 101010100010100 in words is "one hundred one trillion, ten billion, one hundred million, ten thousand, one hundred".