101122121021000 has 64 divisors (see below), whose sum is σ = 239065204276080. Its totient is φ = 40031849932800.

The previous prime is 101122121020897. The next prime is 101122121021039. The reversal of 101122121021000 is 120121221101.

It can be written as a sum of positive squares in 8 ways, for example, as 6656823126724 + 94465297894276 = 2580082^2 + 9719326^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521151047 + ... + 521345046.

Almost surely, 2^{101122121021000} is an apocalyptic number.

101122121021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122121021000 is an abundant number, since it is smaller than the sum of its proper divisors (137943083255080).

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

101122121021000 is a wasteful number, since it uses less digits than its factorization.

101122121021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042496211 (or 1042496197 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101122121021000 its reverse (120121221101), we get a palindrome (101242242242101).

The spelling of 101122121021000 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twenty-one million, twenty-one thousand".