10122223332100 has 72 divisors (see below), whose sum is σ = 23962563047808. Its totient is φ = 3680731708800.

The previous prime is 10122223332073. The next prime is 10122223332103. The reversal of 10122223332100 is 123332222101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10122223332103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102363882 + ... + 102462718.

It is an arithmetic number, because the mean of its divisors is an integer number (332813375664).

Almost surely, 2^{10122223332100} is an apocalyptic number.

10122223332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122223332100 is an abundant number, since it is smaller than the sum of its proper divisors (13840339715708).

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

10122223332100 is a wasteful number, since it uses less digits than its factorization.

10122223332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191965 (or 191958 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10122223332100 its reverse (123332222101), we get a palindrome (10245555554201).

The spelling of 10122223332100 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-three million, three hundred thirty-two thousand, one hundred".