101121200211012 has 24 divisors (see below), whose sum is σ = 235953205320000. Its totient is φ = 33706532714016.

The previous prime is 101121200211011. The next prime is 101121200211091. The reversal of 101121200211012 is 210112002121101.

It is a happy number.

101121200211012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101121200210982 and 101121200211000.

It is not an unprimeable number, because it can be changed into a prime (101121200211011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65963512 + ... + 67479087.

It is an arithmetic number, because the mean of its divisors is an integer number (9831383555000).

Almost surely, 2^{101121200211012} is an apocalyptic number.

101121200211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121200211012 is an abundant number, since it is smaller than the sum of its proper divisors (134832005108988).

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

101121200211012 is a wasteful number, since it uses less digits than its factorization.

101121200211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133505755 (or 133505753 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121200211012 its reverse (210112002121101), we get a palindrome (311233202332113).

The spelling of 101121200211012 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred million, two hundred eleven thousand, twelve".