101112002121100 has 18 divisors (see below), whose sum is σ = 219413044603004. Its totient is φ = 40444800848400.

The previous prime is 101112002121073. The next prime is 101112002121121. The reversal of 101112002121100 is 1121200211101.

It is a happy number.

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, 505560010506 + ... + 505560010705.

Almost surely, 2^{101112002121100} is an apocalyptic number.

101112002121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112002121100 is an abundant number, since it is smaller than the sum of its proper divisors (118301042481904).

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

101112002121100 is a wasteful number, since it uses less digits than its factorization.

101112002121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011120021225 (or 1011120021218 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101112002121100 its reverse (1121200211101), we get a palindrome (102233202332201).

The spelling of 101112002121100 in words is "one hundred one trillion, one hundred twelve billion, two million, one hundred twenty-one thousand, one hundred".