102022211221110 has 384 divisors, whose sum is σ = 282532387737600. Its totient is φ = 25507177758720.

The previous prime is 102022211221093. The next prime is 102022211221129. The reversal of 102022211221110 is 11122112220201.

102022211221110 is a `hidden beast` number, since 10 + 202 + 221 + 1 + 221 + 1 + 10 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8545283521 + ... + 8545295459.

It is an arithmetic number, because the mean of its divisors is an integer number (735761426400).

Almost surely, 2^{102022211221110} is an apocalyptic number.

102022211221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022211221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141266193868800).

102022211221110 is an abundant number, since it is smaller than the sum of its proper divisors (180510176516490).

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

102022211221110 is a wasteful number, since it uses less digits than its factorization.

102022211221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12876 (or 12873 counting only the distinct ones).

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

Adding to 102022211221110 its reverse (11122112220201), we get a palindrome (113144323441311).

Subtracting from 102022211221110 its reverse (11122112220201), we obtain a palindrome (90900099000909).

The spelling of 102022211221110 in words is "one hundred two trillion, twenty-two billion, two hundred eleven million, two hundred twenty-one thousand, one hundred ten".