201000100021120 has 128 divisors (see below), whose sum is σ = 509894823238560. Its totient is φ = 75505042784256.

The previous prime is 201000100021117. The next prime is 201000100021141. The reversal of 201000100021120 is 21120001000102.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 201000100021097 and 201000100021106.

It is a congruent number.

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, 15240394 + ... + 25184713.

Almost surely, 2^{201000100021120} is an apocalyptic number.

201000100021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000100021120 is an abundant number, since it is smaller than the sum of its proper divisors (308894723217440).

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

201000100021120 is a wasteful number, since it uses less digits than its factorization.

201000100021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40425600 (or 40425588 counting only the distinct ones).

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

Adding to 201000100021120 its reverse (21120001000102), we get a palindrome (222120101021222).

The spelling of 201000100021120 in words is "two hundred one trillion, one hundred million, twenty-one thousand, one hundred twenty".