201020020021000 has 64 divisors (see below), whose sum is σ = 472774597804080. Its totient is φ = 79999845452800.

The previous prime is 201020020020991. The next prime is 201020020021049. The reversal of 201020020021000 is 120020020102.

It can be written as a sum of positive squares in 8 ways, for example, as 44992890490276 + 156027129530724 = 6707674^2 + 12491082^2 .

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 15 ways as a sum of consecutive naturals, for example, 510006097 + ... + 510400096.

Almost surely, 2^{201020020021000} is an apocalyptic number.

201020020021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020020021000 is an abundant number, since it is smaller than the sum of its proper divisors (271754577783080).

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

201020020021000 is a wasteful number, since it uses less digits than its factorization.

201020020021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020406411 (or 1020406397 counting only the distinct ones).

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

Adding to 201020020021000 its reverse (120020020102), we get a palindrome (201140040041102).

The spelling of 201020020021000 in words is "two hundred one trillion, twenty billion, twenty million, twenty-one thousand".