21020112102100 has 72 divisors (see below), whose sum is σ = 45647522621568. Its totient is φ = 8401802198400.

The previous prime is 21020112102047. The next prime is 21020112102131. The reversal of 21020112102100 is 120121102012.

It is a super-2 number, since 2×21020112102100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 882037185 + ... + 882061015.

It is an arithmetic number, because the mean of its divisors is an integer number (633993369744).

Almost surely, 2^{21020112102100} is an apocalyptic number.

21020112102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21020112102100 is an abundant number, since it is smaller than the sum of its proper divisors (24627410519468).

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

21020112102100 is a wasteful number, since it uses less digits than its factorization.

21020112102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30025 (or 30018 counting only the distinct ones).

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

Adding to 21020112102100 its reverse (120121102012), we get a palindrome (21140233204112).

The spelling of 21020112102100 in words is "twenty-one trillion, twenty billion, one hundred twelve million, one hundred two thousand, one hundred".