10122002221100 has 216 divisors, whose sum is σ = 27879459819120. Its totient is φ = 3154249728000.

The previous prime is 10122002221033. The next prime is 10122002221117. The reversal of 10122002221100 is 112220022101.

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

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, 300152240 + ... + 300185960.

Almost surely, 2^{10122002221100} is an apocalyptic number.

10122002221100 is a gapful number since it is divisible by the number (10) 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 10122002221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13939729909560).

10122002221100 is an abundant number, since it is smaller than the sum of its proper divisors (17757457598020).

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

10122002221100 is a wasteful number, since it uses less digits than its factorization.

10122002221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39329 (or 39315 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10122002221100 its reverse (112220022101), we get a palindrome (10234222243201).

The spelling of 10122002221100 in words is "ten trillion, one hundred twenty-two billion, two million, two hundred twenty-one thousand, one hundred".