202101202000 has 320 divisors, whose sum is σ = 526873688640. Its totient is φ = 74711040000.

The previous prime is 202101201997. The next prime is 202101202001. The reversal of 202101202000 is 202101202.

It can be written as a sum of positive squares in 32 ways, for example, as 25048759824 + 177052442176 = 158268^2 + 420776^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202101202001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 786385872 + ... + 786386128.

It is an arithmetic number, because the mean of its divisors is an integer number (1646480277).

Almost surely, 2^202101202000 is an apocalyptic number.

202101202000 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 202101202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263436844320).

202101202000 is an abundant number, since it is smaller than the sum of its proper divisors (324772486640).

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

202101202000 is a wasteful number, since it uses less digits than its factorization.

202101202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202101202000 its reverse (202101202), we get a palindrome (202303303202).

202101202000 divided by its reverse (202101202) gives a cube (1000 = 10³).

The spelling of 202101202000 in words is "two hundred two billion, one hundred one million, two hundred two thousand".