21020102101100 has 72 divisors (see below), whose sum is σ = 46742139436608. Its totient is φ = 8200159475200.

The previous prime is 21020102101087. The next prime is 21020102101109. The reversal of 21020102101100 is 110120102012.

It is not an unprimeable number, because it can be changed into a prime (21020102101109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11124914 + ... + 12876486.

It is an arithmetic number, because the mean of its divisors is an integer number (649196381064).

Almost surely, 2^{21020102101100} is an apocalyptic number.

21020102101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21020102101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23371069718304).

21020102101100 is an abundant number, since it is smaller than the sum of its proper divisors (25722037335508).

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

21020102101100 is a wasteful number, since it uses less digits than its factorization.

21020102101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754555 (or 1754548 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21020102101100 its reverse (110120102012), we get a palindrome (21130222203112).

The spelling of 21020102101100 in words is "twenty-one trillion, twenty billion, one hundred two million, one hundred one thousand, one hundred".