120201010021000 has 64 divisors (see below), whose sum is σ = 285881353158960. Its totient is φ = 47292200640000.

The previous prime is 120201010020989. The next prime is 120201010021007. The reversal of 120201010021000 is 120010102021.

It can be written as a sum of positive squares in 8 ways, for example, as 15023391504004 + 105177618516996 = 3876002^2 + 10255614^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (120201010021007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985193181 + ... + 985315180.

Almost surely, 2^{120201010021000} is an apocalyptic number.

120201010021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201010021000 is an abundant number, since it is smaller than the sum of its proper divisors (165680343137960).

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

120201010021000 is a wasteful number, since it uses less digits than its factorization.

120201010021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970508443 (or 1970508429 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120201010021000 its reverse (120010102021), we get a palindrome (120321020123021).

The spelling of 120201010021000 in words is "one hundred twenty trillion, two hundred one billion, ten million, twenty-one thousand".