21010210112100 has 216 divisors, whose sum is σ = 66823849701280. Its totient is φ = 5092957900800.

The previous prime is 21010210112081. The next prime is 21010210112179. The reversal of 21010210112100 is 121101201012.

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

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 71 ways as a sum of consecutive naturals, for example, 776044164 + ... + 776071236.

Almost surely, 2^{21010210112100} is an apocalyptic number.

21010210112100 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 21010210112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33411924850640).

21010210112100 is an abundant number, since it is smaller than the sum of its proper divisors (45813639589180).

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

21010210112100 is a wasteful number, since it uses less digits than its factorization.

21010210112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48491 (or 48473 counting only the distinct ones).

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

Adding to 21010210112100 its reverse (121101201012), we get a palindrome (21131311313112).

The spelling of 21010210112100 in words is "twenty-one trillion, ten billion, two hundred ten million, one hundred twelve thousand, one hundred".