101101111202100 has 144 divisors (see below), whose sum is σ = 307921771745280. Its totient is φ = 25540768598400.

The previous prime is 101101111202087. The next prime is 101101111202159. The reversal of 101101111202100 is 1202111101101.

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 47 ways as a sum of consecutive naturals, for example, 297159085 + ... + 297499115.

It is an arithmetic number, because the mean of its divisors is an integer number (2138345637120).

Almost surely, 2^{101101111202100} is an apocalyptic number.

101101111202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101111202100 is an abundant number, since it is smaller than the sum of its proper divisors (206820660543180).

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

101101111202100 is a wasteful number, since it uses less digits than its factorization.

101101111202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392230 (or 392223 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101101111202100 its reverse (1202111101101), we get a palindrome (102303222303201).

The spelling of 101101111202100 in words is "one hundred one trillion, one hundred one billion, one hundred eleven million, two hundred two thousand, one hundred".