210112012210100 has 576 divisors, whose sum is σ = 642102782791680. Its totient is φ = 57523743129600.

The previous prime is 210112012209991. The next prime is 210112012210127. The reversal of 210112012210100 is 1012210211012.

It is a super-2 number, since 2×210112012210100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 444107471 + ... + 444580329.

It is an arithmetic number, because the mean of its divisors is an integer number (1114761775680).

Almost surely, 2^{210112012210100} is an apocalyptic number.

210112012210100 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 210112012210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321051391395840).

210112012210100 is an abundant number, since it is smaller than the sum of its proper divisors (431990770581580).

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

210112012210100 is a wasteful number, since it uses less digits than its factorization.

210112012210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473120 (or 473113 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210112012210100 its reverse (1012210211012), we get a palindrome (211124222421112).

The spelling of 210112012210100 in words is "two hundred ten trillion, one hundred twelve billion, twelve million, two hundred ten thousand, one hundred".