21000201009975 has 72 divisors (see below), whose sum is σ = 42817168847232. Its totient is φ = 9739223630400.

The previous prime is 21000201009913. The next prime is 21000201010003. The reversal of 21000201009975 is 57990010200012.

It is not a de Polignac number, because 21000201009975 - 2¹² = 21000201005879 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 184398069 + ... + 184511918.

It is an arithmetic number, because the mean of its divisors is an integer number (594682900656).

Almost surely, 2^{21000201009975} is an apocalyptic number.

21000201009975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21000201009975 is an abundant number, since it is smaller than the sum of its proper divisors (21816967837257).

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

21000201009975 is a wasteful number, since it uses less digits than its factorization.

21000201009975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368910037 (or 368910029 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

Adding to 21000201009975 its reverse (57990010200012), we get a palindrome (78990211209987).

The spelling of 21000201009975 in words is "twenty-one trillion, two hundred one million, nine thousand, nine hundred seventy-five".