21010210100000 has 432 divisors, whose sum is σ = 57132744270336. Its totient is φ = 7599240000000.

The previous prime is 21010210099981. The next prime is 21010210100017. The reversal of 21010210100000 is 101201012.

It is a super-2 number, since 2×21010210100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2311095455 + ... + 2311104545.

It is an arithmetic number, because the mean of its divisors is an integer number (132251722848).

Almost surely, 2^{21010210100000} is an apocalyptic number.

21010210100000 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 21010210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28566372135168).

21010210100000 is an abundant number, since it is smaller than the sum of its proper divisors (36122534170336).

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

21010210100000 is an equidigital number, since it uses as much as digits as its factorization.

21010210100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9339 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 21010210100000 its reverse (101201012), we get a palindrome (21010311301012).

It can be divided in two parts, 21010 and 210100000, that multiplied together give a square (4414201000000 = 2101000²).

The spelling of 21010210100000 in words is "twenty-one trillion, ten billion, two hundred ten million, one hundred thousand".