101120121121100 has 18 divisors (see below), whose sum is σ = 219430662833004. Its totient is φ = 40448048448400.

The previous prime is 101120121121091. The next prime is 101120121121133. The reversal of 101120121121100 is 1121121021101.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505600605506 + ... + 505600605705.

Almost surely, 2^{101120121121100} is an apocalyptic number.

101120121121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120121121100 is an abundant number, since it is smaller than the sum of its proper divisors (118310541711904).

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

101120121121100 is a wasteful number, since it uses less digits than its factorization.

101120121121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011201211225 (or 1011201211218 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101120121121100 its reverse (1121121021101), we get a palindrome (102241242142201).

Subtracting from 101120121121100 its reverse (1121121021101), we obtain a palindrome (99999000099999).

The spelling of 101120121121100 in words is "one hundred one trillion, one hundred twenty billion, one hundred twenty-one million, one hundred twenty-one thousand, one hundred".