101012112102100 has 36 divisors (see below), whose sum is σ = 226267131115648. Its totient is φ = 39101462748000.

The previous prime is 101012112102091. The next prime is 101012112102157. The reversal of 101012112102100 is 1201211210101.

It is a happy number.

It is a super-3 number, since 3×101012112102100³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16292273046 + ... + 16292279245.

Almost surely, 2^{101012112102100} is an apocalyptic number.

101012112102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012112102100 is an abundant number, since it is smaller than the sum of its proper divisors (125255019013548).

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

101012112102100 is a wasteful number, since it uses less digits than its factorization.

101012112102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32584552336 (or 32584552329 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101012112102100 its reverse (1201211210101), we get a palindrome (102213323312201).

The spelling of 101012112102100 in words is "one hundred one trillion, twelve billion, one hundred twelve million, one hundred two thousand, one hundred".