101102111000100 has 216 divisors, whose sum is σ = 362648674152128. Its totient is φ = 23078525702400.

The previous prime is 101102111000083. The next prime is 101102111000263. The reversal of 101102111000100 is 1000111201101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5830606 + ... + 15368805.

Almost surely, 2^{101102111000100} is an apocalyptic number.

101102111000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102111000100 is an abundant number, since it is smaller than the sum of its proper divisors (261546563152028).

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

101102111000100 is a wasteful number, since it uses less digits than its factorization.

101102111000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21200195 (or 21200185 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101102111000100 its reverse (1000111201101), we get a palindrome (102102222201201).

The spelling of 101102111000100 in words is "one hundred one trillion, one hundred two billion, one hundred eleven million, one hundred", and thus it is an aban number.