102022113100000 has 288 divisors, whose sum is σ = 273380157237600. Its totient is φ = 37327852800000.

The previous prime is 102022113099967. The next prime is 102022113100099. The reversal of 102022113100000 is 1311220201.

It is a super-2 number, since 2×102022113100000² (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 47 ways as a sum of consecutive naturals, for example, 54174210 + ... + 56025790.

It is an arithmetic number, because the mean of its divisors is an integer number (949236657075).

Almost surely, 2^{102022113100000} is an apocalyptic number.

102022113100000 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 102022113100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136690078618800).

102022113100000 is an abundant number, since it is smaller than the sum of its proper divisors (171358044137600).

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

102022113100000 is an equidigital number, since it uses as much as digits as its factorization.

102022113100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851664 (or 1851636 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 102022113100000 its reverse (1311220201), we get a palindrome (102023424320201).

The spelling of 102022113100000 in words is "one hundred two trillion, twenty-two billion, one hundred thirteen million, one hundred thousand".