10102011112200 has 384 divisors, whose sum is σ = 36954217635840. Its totient is φ = 2233958400000.

The previous prime is 10102011112181. The next prime is 10102011112223. The reversal of 10102011112200 is 221111020101.

It is a super-2 number, since 2×10102011112200² (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, 657632520 + ... + 657647880.

It is an arithmetic number, because the mean of its divisors is an integer number (96234941760).

Almost surely, 2^{10102011112200} is an apocalyptic number.

10102011112200 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 10102011112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18477108817920).

10102011112200 is an abundant number, since it is smaller than the sum of its proper divisors (26852206523640).

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

10102011112200 is a wasteful number, since it uses less digits than its factorization.

10102011112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20469 (or 20460 counting only the distinct ones).

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

Adding to 10102011112200 its reverse (221111020101), we get a palindrome (10323122132301).

The spelling of 10102011112200 in words is "ten trillion, one hundred two billion, eleven million, one hundred twelve thousand, two hundred".