10122230133100 has 36 divisors (see below), whose sum is σ = 21965430928000. Its totient is φ = 4048856746560.

The previous prime is 10122230133091. The next prime is 10122230133109. The reversal of 10122230133100 is 133103222101.

It is an interprime number because it is at equal distance from previous prime (10122230133091) and next prime (10122230133109).

It is a super-2 number, since 2×10122230133100² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10122230133109) 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 11 ways as a sum of consecutive naturals, for example, 13173301 + ... + 13920499.

Almost surely, 2^{10122230133100} is an apocalyptic number.

10122230133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122230133100 is an abundant number, since it is smaller than the sum of its proper divisors (11843200794900).

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

10122230133100 is a wasteful number, since it uses less digits than its factorization.

10122230133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882682 (or 882675 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10122230133100 its reverse (133103222101), we get a palindrome (10255333355201).

The spelling of 10122230133100 in words is "ten trillion, one hundred twenty-two billion, two hundred thirty million, one hundred thirty-three thousand, one hundred".