21201011210100 has 72 divisors (see below), whose sum is σ = 61404766905888. Its totient is φ = 5647780457600.

The previous prime is 21201011210089. The next prime is 21201011210129. The reversal of 21201011210100 is 101211010212.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36099039 + ... + 36681638.

It is an arithmetic number, because the mean of its divisors is an integer number (852843984804).

Almost surely, 2^{21201011210100} is an apocalyptic number.

21201011210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21201011210100 is an abundant number, since it is smaller than the sum of its proper divisors (40203755695788).

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

21201011210100 is a wasteful number, since it uses less digits than its factorization.

21201011210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72781665 (or 72781658 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21201011210100 its reverse (101211010212), we get a palindrome (21302222220312).

It can be divided in two parts, 212010112 and 10100, that added together give a palindrome (212020212).

The spelling of 21201011210100 in words is "twenty-one trillion, two hundred one billion, eleven million, two hundred ten thousand, one hundred".