102211122100000 has 288 divisors, whose sum is σ = 256343783572800. Its totient is φ = 40103241600000.

The previous prime is 102211122099971. The next prime is 102211122100067. The reversal of 102211122100000 is 1221112201.

It is a super-2 number, since 2×102211122100000² (a number of 29 digits) contains 22 as substring.

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, 2719881211 + ... + 2719918789.

It is an arithmetic number, because the mean of its divisors is an integer number (890082581850).

Almost surely, 2^{102211122100000} is an apocalyptic number.

102211122100000 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 102211122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128171891786400).

102211122100000 is an abundant number, since it is smaller than the sum of its proper divisors (154132661472800).

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

102211122100000 is an frugal number, since it uses more digits than its factorization.

102211122100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38134 (or 38106 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102211122100000 its reverse (1221112201), we get a palindrome (102212343212201).

The spelling of 102211122100000 in words is "one hundred two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred thousand".