210122012100 has 576 divisors, whose sum is σ = 838378340352. Its totient is φ = 39211776000.

The previous prime is 210122012099. The next prime is 210122012119. The reversal of 210122012100 is 1210221012.

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

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, 11101645 + ... + 11120555.

It is an arithmetic number, because the mean of its divisors is an integer number (1455517952).

Almost surely, 2^210122012100 is an apocalyptic number.

210122012100 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 210122012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419189170176).

210122012100 is an abundant number, since it is smaller than the sum of its proper divisors (628256328252).

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

210122012100 is a wasteful number, since it uses less digits than its factorization.

210122012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18996 (or 18989 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210122012100 its reverse (1210221012), we get a palindrome (211332233112).

The spelling of 210122012100 in words is "two hundred ten billion, one hundred twenty-two million, twelve thousand, one hundred".