10101122211012 has 48 divisors (see below), whose sum is σ = 27021298604160. Its totient is φ = 2876930698752.

The previous prime is 10101122210999. The next prime is 10101122211073. The reversal of 10101122211012 is 21011222110101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10101122210982 and 10101122211000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 189644437 + ... + 189697692.

It is an arithmetic number, because the mean of its divisors is an integer number (562943720920).

Almost surely, 2^{10101122211012} is an apocalyptic number.

10101122211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101122211012 is an abundant number, since it is smaller than the sum of its proper divisors (16920176393148).

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

10101122211012 is a wasteful number, since it uses less digits than its factorization.

10101122211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379342460 (or 379342458 counting only the distinct ones).

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

Adding to 10101122211012 its reverse (21011222110101), we get a palindrome (31112344321113).

The spelling of 10101122211012 in words is "ten trillion, one hundred one billion, one hundred twenty-two million, two hundred eleven thousand, twelve".