10120011322200 has 144 divisors (see below), whose sum is σ = 33970902252120. Its totient is φ = 2491079685120.

The previous prime is 10120011322199. The next prime is 10120011322217. The reversal of 10120011322200 is 222311002101.

10120011322200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10120011322200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10120011322200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49800037 + ... + 50002836.

Almost surely, 2^{10120011322200} is an apocalyptic number.

10120011322200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120011322200 is an abundant number, since it is smaller than the sum of its proper divisors (23850890929920).

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

10120011322200 is a wasteful number, since it uses less digits than its factorization.

10120011322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99802918 (or 99802896 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10120011322200 its reverse (222311002101), we get a palindrome (10342322324301).

The spelling of 10120011322200 in words is "ten trillion, one hundred twenty billion, eleven million, three hundred twenty-two thousand, two hundred".