101210112010000 has 150 divisors (see below), whose sum is σ = 285046301883750. Its totient is φ = 34700609664000.

The previous prime is 101210112009949. The next prime is 101210112010057. The reversal of 101210112010000 is 10211012101.

It can be written as a sum of positive squares in 5 ways, for example, as 38485992949264 + 62724119060736 = 6203708^2 + 7919856^2 .

It is a super-3 number, since 3×101210112010000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 102785625 + ... + 103765624.

It is an arithmetic number, because the mean of its divisors is an integer number (1900308679225).

Almost surely, 2^{101210112010000} is an apocalyptic number.

101210112010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210112010000 is an abundant number, since it is smaller than the sum of its proper divisors (183836189873750).

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

101210112010000 is an equidigital number, since it uses as much as digits as its factorization.

101210112010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206551291 (or 206551263 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101210112010000 its reverse (10211012101), we get a palindrome (101220323022101).

The spelling of 101210112010000 in words is "one hundred one trillion, two hundred ten billion, one hundred twelve million, ten thousand".