10122310132100 has 18 divisors (see below), whose sum is σ = 21965412986874. Its totient is φ = 4048924052800.

The previous prime is 10122310132087. The next prime is 10122310132111. The reversal of 10122310132100 is 123101322101.

It can be written as a sum of positive squares in 3 ways, for example, as 484427136064 + 9637882996036 = 696008^2 + 3104494^2 .

It is a super-2 number, since 2×10122310132100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50611550561 + ... + 50611550760.

It is an arithmetic number, because the mean of its divisors is an integer number (1220300721493).

Almost surely, 2^{10122310132100} is an apocalyptic number.

10122310132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122310132100 is an abundant number, since it is smaller than the sum of its proper divisors (11843102854774).

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

10122310132100 is a wasteful number, since it uses less digits than its factorization.

10122310132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101223101335 (or 101223101328 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10122310132100 its reverse (123101322101), we get a palindrome (10245411454201).

The spelling of 10122310132100 in words is "ten trillion, one hundred twenty-two billion, three hundred ten million, one hundred thirty-two thousand, one hundred".