102211222121100 has 288 divisors, whose sum is σ = 336734513236800. Its totient is φ = 26581270118400.

The previous prime is 102211222121023. The next prime is 102211222121143. The reversal of 102211222121100 is 1121222112201.

102211222121100 is a `hidden beast` number, since 1 + 0 + 221 + 1 + 222 + 121 + 100 = 666.

102211222121100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 288639352 + ... + 288993248.

It is an arithmetic number, because the mean of its divisors is an integer number (1169217059850).

Almost surely, 2^{102211222121100} is an apocalyptic number.

102211222121100 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 102211222121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168367256618400).

102211222121100 is an abundant number, since it is smaller than the sum of its proper divisors (234523291115700).

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

102211222121100 is a wasteful number, since it uses less digits than its factorization.

102211222121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356570 (or 356557 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102211222121100 its reverse (1121222112201), we get a palindrome (103332444233301).

The spelling of 102211222121100 in words is "one hundred two trillion, two hundred eleven billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred".