1010122011200 has 84 divisors (see below), whose sum is σ = 2488105637952. Its totient is φ = 403630348800.

The previous prime is 1010122011187. The next prime is 1010122011247. The reversal of 1010122011200 is 21102210101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1220765 + ... + 1873635.

Almost surely, 2^{1010122011200} is an apocalyptic number.

1010122011200 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 1010122011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1244052818976).

1010122011200 is an abundant number, since it is smaller than the sum of its proper divisors (1477983626752).

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

1010122011200 is an equidigital number, since it uses as much as digits as its factorization.

1010122011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653860 (or 653845 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1010122011200 its reverse (21102210101), we get a palindrome (1031224221301).

The spelling of 1010122011200 in words is "one trillion, ten billion, one hundred twenty-two million, eleven thousand, two hundred".