202101011002000 has 320 divisors, whose sum is σ = 536874342271488. Its totient is φ = 72972407040000.

The previous prime is 202101011001997. The next prime is 202101011002063. The reversal of 202101011002000 is 200110101202.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5156802405 + ... + 5156841595.

Almost surely, 2^{202101011002000} is an apocalyptic number.

202101011002000 is a gapful number since it is divisible by the number (20) 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 202101011002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268437171135744).

202101011002000 is an abundant number, since it is smaller than the sum of its proper divisors (334773331269488).

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

202101011002000 is a wasteful number, since it uses less digits than its factorization.

202101011002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40875 (or 40859 counting only the distinct ones).

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

Adding to 202101011002000 its reverse (200110101202), we get a palindrome (202301121103202).

The spelling of 202101011002000 in words is "two hundred two trillion, one hundred one billion, eleven million, two thousand".