101102100121100 has 36 divisors (see below), whose sum is σ = 236267830901424. Its totient is φ = 37330006198080.

The previous prime is 101102100121097. The next prime is 101102100121117. The reversal of 101102100121100 is 1121001201101.

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, 38885421824 + ... + 38885424423.

Almost surely, 2^{101102100121100} is an apocalyptic number.

101102100121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102100121100 is an abundant number, since it is smaller than the sum of its proper divisors (135165730780324).

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

101102100121100 is a wasteful number, since it uses less digits than its factorization.

101102100121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77770846274 (or 77770846267 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101102100121100 its reverse (1121001201101), we get a palindrome (102223101322201).

The spelling of 101102100121100 in words is "one hundred one trillion, one hundred two billion, one hundred million, one hundred twenty-one thousand, one hundred".