201021000010120 has 16 divisors (see below), whose sum is σ = 452297250022860. Its totient is φ = 80408400004032.

The previous prime is 201021000010067. The next prime is 201021000010121. The reversal of 201021000010120 is 21010000120102.

It can be written as a sum of positive squares in 2 ways, for example, as 175617041235364 + 25403958774756 = 13252058^2 + 5040234^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 201021000010097 and 201021000010106.

It is not an unprimeable number, because it can be changed into a prime (201021000010121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2512762500087 + ... + 2512762500166.

Almost surely, 2^{201021000010120} is an apocalyptic number.

201021000010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201021000010120 is an abundant number, since it is smaller than the sum of its proper divisors (251276250012740).

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

201021000010120 is a wasteful number, since it uses less digits than its factorization.

201021000010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025525000264 (or 5025525000260 counting only the distinct ones).

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

Adding to 201021000010120 its reverse (21010000120102), we get a palindrome (222031000130222).

The spelling of 201021000010120 in words is "two hundred one trillion, twenty-one billion, ten thousand, one hundred twenty".