102001222211200 has 384 divisors, whose sum is σ = 274155804624240. Its totient is φ = 37273927680000.

The previous prime is 102001222211177. The next prime is 102001222211227. The reversal of 102001222211200 is 2112222100201.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 24102522562624 + 77898699648576 = 4909432^2 + 8826024^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19314752560 + ... + 19314757840.

Almost surely, 2^{102001222211200} is an apocalyptic number.

102001222211200 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 102001222211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137077902312120).

102001222211200 is an abundant number, since it is smaller than the sum of its proper divisors (172154582413040).

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

102001222211200 is a wasteful number, since it uses less digits than its factorization.

102001222211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016 (or 9999 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102001222211200 its reverse (2112222100201), we get a palindrome (104113444311401).

The spelling of 102001222211200 in words is "one hundred two trillion, one billion, two hundred twenty-two million, two hundred eleven thousand, two hundred".