10102211011200 has 1152 divisors, whose sum is σ = 42216224238720. Its totient is φ = 2078208000000.

The previous prime is 10102211011199. The next prime is 10102211011259. The reversal of 10102211011200 is 211011220101.

It is a super-3 number, since 3×10102211011200³ (a number of 40 digits) contains 333 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 143 ways as a sum of consecutive naturals, for example, 821245050 + ... + 821257350.

It is an arithmetic number, because the mean of its divisors is an integer number (36646027985).

Almost surely, 2^{10102211011200} is an apocalyptic number.

10102211011200 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 10102211011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21108112119360).

10102211011200 is an abundant number, since it is smaller than the sum of its proper divisors (32114013227520).

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

10102211011200 is a wasteful number, since it uses less digits than its factorization.

10102211011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12458 (or 12430 counting only the distinct ones).

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

Adding to 10102211011200 its reverse (211011220101), we get a palindrome (10313222231301).

The spelling of 10102211011200 in words is "ten trillion, one hundred two billion, two hundred eleven million, eleven thousand, two hundred".