102222131102140 has 288 divisors, whose sum is σ = 270420935049216. Its totient is φ = 32237244426240.

The previous prime is 102222131102081. The next prime is 102222131102153. The reversal of 102222131102140 is 41201131222201.

It is a super-2 number, since 2×102222131102140² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 540972357 + ... + 541161283.

It is an arithmetic number, because the mean of its divisors is an integer number (938961580032).

Almost surely, 2^{102222131102140} is an apocalyptic number.

102222131102140 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 102222131102140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135210467524608).

102222131102140 is an abundant number, since it is smaller than the sum of its proper divisors (168198803947076).

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

102222131102140 is a wasteful number, since it uses less digits than its factorization.

102222131102140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189705 (or 189696 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 102222131102140 its reverse (41201131222201), we get a palindrome (143423262324341).

The spelling of 102222131102140 in words is "one hundred two trillion, two hundred twenty-two billion, one hundred thirty-one million, one hundred two thousand, one hundred forty".