121201102021000 has 128 divisors (see below), whose sum is σ = 284042551309920. Its totient is φ = 48406656000000.

The previous prime is 121201102020961. The next prime is 121201102021009. The reversal of 121201102021000 is 120201102121.

It can be written as a sum of positive squares in 16 ways, for example, as 84056294641284 + 37144807379716 = 9168222^2 + 6094654^2 .

It is a super-2 number, since 2×121201102021000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121201102021009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1778646930 + ... + 1778715070.

Almost surely, 2^{121201102021000} is an apocalyptic number.

121201102021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121201102021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142021275654960).

121201102021000 is an abundant number, since it is smaller than the sum of its proper divisors (162841449288920).

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

121201102021000 is a wasteful number, since it uses less digits than its factorization.

121201102021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70844 (or 70830 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 121201102021000 its reverse (120201102121), we get a palindrome (121321303123121).

The spelling of 121201102021000 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred two million, twenty-one thousand".