101021011121000 has 64 divisors (see below), whose sum is σ = 236978666130960. Its totient is φ = 40307635200000.

The previous prime is 101021011120993. The next prime is 101021011121029. The reversal of 101021011121000 is 121110120101.

It can be written as a sum of positive squares in 8 ways, for example, as 58907374912996 + 42113636208004 = 7675114^2 + 6489502^2 .

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, 125560361 + ... + 126362360.

Almost surely, 2^{101021011121000} is an apocalyptic number.

101021011121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021011121000 is an abundant number, since it is smaller than the sum of its proper divisors (135957655009960).

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

101021011121000 is a wasteful number, since it uses less digits than its factorization.

101021011121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251923143 (or 251923129 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101021011121000 its reverse (121110120101), we get a palindrome (101142121241101).

The spelling of 101021011121000 in words is "one hundred one trillion, twenty-one billion, eleven million, one hundred twenty-one thousand".