101121021010002 has 128 divisors (see below), whose sum is σ = 234441588326400. Its totient is φ = 28480889074176.

The previous prime is 101121021009917. The next prime is 101121021010007. The reversal of 101121021010002 is 200010120121101.

It is a self number, because there is not a number n which added to its sum of digits gives 101121021010002.

It is not an unprimeable number, because it can be changed into a prime (101121021010007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3015910374 + ... + 3015943902.

It is an arithmetic number, because the mean of its divisors is an integer number (1831574908800).

Almost surely, 2^{101121021010002} is an apocalyptic number.

101121021010002 is an abundant number, since it is smaller than the sum of its proper divisors (133320567316398).

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

101121021010002 is a wasteful number, since it uses less digits than its factorization.

101121021010002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36800.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101121021010002 its reverse (200010120121101), we get a palindrome (301131141131103).

The spelling of 101121021010002 in words is "one hundred one trillion, one hundred twenty-one billion, twenty-one million, ten thousand, two".