10111112202000 has 320 divisors, whose sum is σ = 36016462370304. Its totient is φ = 2427355955200.

The previous prime is 10111112201921. The next prime is 10111112202001. The reversal of 10111112202000 is 20221111101.

It is a super-2 number, since 2×10111112202000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10111112202001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 191032 + ... + 4500968.

Almost surely, 2^{10111112202000} is an apocalyptic number.

10111112202000 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 10111112202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18008231185152).

10111112202000 is an abundant number, since it is smaller than the sum of its proper divisors (25905350168304).

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

10111112202000 is a wasteful number, since it uses less digits than its factorization.

10111112202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310003 (or 4309987 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10111112202000 its reverse (20221111101), we get a palindrome (10131333313101).

The spelling of 10111112202000 in words is "ten trillion, one hundred eleven billion, one hundred twelve million, two hundred two thousand".