21010101009975 has 144 divisors (see below), whose sum is σ = 47347538135040. Its totient is φ = 8651364537600.

The previous prime is 21010101009973. The next prime is 21010101010051. The reversal of 21010101009975 is 57990010101012.

21010101009975 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 21010101009975 - 2¹ = 21010101009973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21010101009971) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3674439 + ... + 7451288.

It is an arithmetic number, because the mean of its divisors is an integer number (328802348160).

Almost surely, 2^{21010101009975} is an apocalyptic number.

21010101009975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21010101009975 is an abundant number, since it is smaller than the sum of its proper divisors (26337437125065).

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

21010101009975 is a wasteful number, since it uses less digits than its factorization.

21010101009975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11125870 (or 11125862 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 36.

The spelling of 21010101009975 in words is "twenty-one trillion, ten billion, one hundred one million, nine thousand, nine hundred seventy-five".