210100022101120 has 64 divisors (see below), whose sum is σ = 502317949478400. Its totient is φ = 84032047049728.

The previous prime is 210100022101103. The next prime is 210100022101127. The reversal of 210100022101120 is 21101220001012.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×210100022101120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210100022101120.

It is not an unprimeable number, because it can be changed into a prime (210100022101127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8787334 + ... + 22302853.

It is an arithmetic number, because the mean of its divisors is an integer number (7848717960600).

Almost surely, 2^{210100022101120} is an apocalyptic number.

210100022101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100022101120 is an abundant number, since it is smaller than the sum of its proper divisors (292217927377280).

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

210100022101120 is a wasteful number, since it uses less digits than its factorization.

210100022101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31100765 (or 31100753 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210100022101120 its reverse (21101220001012), we get a palindrome (231201242102132).

The spelling of 210100022101120 in words is "two hundred ten trillion, one hundred billion, twenty-two million, one hundred one thousand, one hundred twenty".