101000610110100 has 72 divisors (see below), whose sum is σ = 301655155556608. Its totient is φ = 26064673574400.

The previous prime is 101000610110083. The next prime is 101000610110143. The reversal of 101000610110100 is 1011016000101.

It is a super-2 number, since 2×101000610110100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5430131029 + ... + 5430149628.

Almost surely, 2^{101000610110100} is an apocalyptic number.

101000610110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000610110100 is an abundant number, since it is smaller than the sum of its proper divisors (200654545446508).

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

101000610110100 is a wasteful number, since it uses less digits than its factorization.

101000610110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10860280705 (or 10860280698 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101000610110100 its reverse (1011016000101), we get a palindrome (102011626110201).

The spelling of 101000610110100 in words is "one hundred one trillion, six hundred ten million, one hundred ten thousand, one hundred".