20101002112200 has 384 divisors, whose sum is σ = 65603444860800. Its totient is φ = 5085545472000.

The previous prime is 20101002112199. The next prime is 20101002112253. The reversal of 20101002112200 is 221120010102.

It is a super-2 number, since 2×20101002112200² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242194710 + ... + 242277690.

It is an arithmetic number, because the mean of its divisors is an integer number (170842304325).

Almost surely, 2^{20101002112200} is an apocalyptic number.

20101002112200 is a gapful number since it is divisible by the number (20) 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 20101002112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32801722430400).

20101002112200 is an abundant number, since it is smaller than the sum of its proper divisors (45502442748600).

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

20101002112200 is a wasteful number, since it uses less digits than its factorization.

20101002112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83313 (or 83304 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20101002112200 its reverse (221120010102), we get a palindrome (20322122122302).

The spelling of 20101002112200 in words is "twenty trillion, one hundred one billion, two million, one hundred twelve thousand, two hundred".