21122010102100 has 36 divisors (see below), whose sum is σ = 46952682953148. Its totient is φ = 8242735648000.

The previous prime is 21122010102019. The next prime is 21122010102121. The reversal of 21122010102100 is 120101022112.

It can be written as a sum of positive squares in 6 ways, for example, as 1937452421776 + 19184557680324 = 1391924^2 + 4380018^2 .

It is a super-2 number, since 2×21122010102100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2575850791 + ... + 2575858990.

It is an arithmetic number, because the mean of its divisors is an integer number (1304241193143).

Almost surely, 2^{21122010102100} is an apocalyptic number.

21122010102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21122010102100 is an abundant number, since it is smaller than the sum of its proper divisors (25830672851048).

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

21122010102100 is a wasteful number, since it uses less digits than its factorization.

21122010102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151709836 (or 5151709829 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21122010102100 its reverse (120101022112), we get a palindrome (21242111124212).

The spelling of 21122010102100 in words is "twenty-one trillion, one hundred twenty-two billion, ten million, one hundred two thousand, one hundred".