210101001021000 has 384 divisors, whose sum is σ = 772236437787360. Its totient is φ = 51306061824000.

The previous prime is 210101001020993. The next prime is 210101001021089. The reversal of 210101001021000 is 120100101012.

It is a happy number.

210101001021000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 7158696229476 + 202942304791524 = 2675574^2 + 14245782^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12895881 + ... + 24217880.

Almost surely, 2^{210101001021000} is an apocalyptic number.

210101001021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210101001021000 is an abundant number, since it is smaller than the sum of its proper divisors (562135436766360).

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

210101001021000 is a wasteful number, since it uses less digits than its factorization.

210101001021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37113842 (or 37113825 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210101001021000 its reverse (120100101012), we get a palindrome (210221101122012).

The spelling of 210101001021000 in words is "two hundred ten trillion, one hundred one billion, one million, twenty-one thousand".