10112202100000 has 576 divisors, whose sum is σ = 33410888066304. Its totient is φ = 2909376000000.

The previous prime is 10112202099997. The next prime is 10112202100001. The reversal of 10112202100000 is 120221101.

It is a super-2 number, since 2×10112202100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10112202100000.

It is not an unprimeable number, because it can be changed into a prime (10112202100001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100049490 + ... + 100150510.

It is an arithmetic number, because the mean of its divisors is an integer number (58005014004).

Almost surely, 2^{10112202100000} is an apocalyptic number.

10112202100000 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 10112202100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16705444033152).

10112202100000 is an abundant number, since it is smaller than the sum of its proper divisors (23298685966304).

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

10112202100000 is a wasteful number, since it uses less digits than its factorization.

10112202100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101087 (or 101059 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10112202100000 its reverse (120221101), we get a palindrome (10112322321101).

The spelling of 10112202100000 in words is "ten trillion, one hundred twelve billion, two hundred two million, one hundred thousand".