21020220110100 has 72 divisors (see below), whose sum is σ = 60820865527968. Its totient is φ = 5605174332800.

The previous prime is 21020220110039. The next prime is 21020220110137. The reversal of 21020220110100 is 101102202012.

It is a super-3 number, since 3×21020220110100³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6451495 + ... + 9146705.

It is an arithmetic number, because the mean of its divisors is an integer number (844734243444).

Almost surely, 2^{21020220110100} is an apocalyptic number.

21020220110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21020220110100 is an abundant number, since it is smaller than the sum of its proper divisors (39800645417868).

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

21020220110100 is a wasteful number, since it uses less digits than its factorization.

21020220110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721225 (or 2721218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21020220110100 its reverse (101102202012), we get a palindrome (21121322312112).

The spelling of 21020220110100 in words is "twenty-one trillion, twenty billion, two hundred twenty million, one hundred ten thousand, one hundred".