101122010010002 has 64 divisors (see below), whose sum is σ = 160579666867200. Its totient is φ = 47626519449600.

The previous prime is 101122010009989. The next prime is 101122010010013. The reversal of 101122010010002 is 200010010221101.

101122010010002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34243821758 + ... + 34243824710.

It is an arithmetic number, because the mean of its divisors is an integer number (2509057294800).

Almost surely, 2^{101122010010002} is an apocalyptic number.

101122010010002 is a deficient number, since it is larger than the sum of its proper divisors (59457656857198).

101122010010002 is a wasteful number, since it uses less digits than its factorization.

101122010010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7171.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101122010010002 its reverse (200010010221101), we get a palindrome (301132020231103).

The spelling of 101122010010002 in words is "one hundred one trillion, one hundred twenty-two billion, ten million, ten thousand, two".