201021010021000 has 128 divisors (see below), whose sum is σ = 533234679868800. Its totient is φ = 70316660908800.

The previous prime is 201021010020991. The next prime is 201021010021003. The reversal of 201021010021000 is 120010120102.

201021010021000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (201021010021003) 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, 406678122 + ... + 407172121.

It is an arithmetic number, because the mean of its divisors is an integer number (4165895936475).

Almost surely, 2^{201021010021000} is an apocalyptic number.

201021010021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201021010021000 is an abundant number, since it is smaller than the sum of its proper divisors (332213669847800).

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

201021010021000 is a wasteful number, since it uses less digits than its factorization.

201021010021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813850296 (or 813850282 counting only the distinct ones).

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

Adding to 201021010021000 its reverse (120010120102), we get a palindrome (201141020141102).

The spelling of 201021010021000 in words is "two hundred one trillion, twenty-one billion, ten million, twenty-one thousand".