102223121120100 has 432 divisors, whose sum is σ = 332452042540800. Its totient is φ = 26250562944000.

The previous prime is 102223121120093. The next prime is 102223121120119. The reversal of 102223121120100 is 1021121322201.

102223121120100 is a `hidden beast` number, since 1 + 0 + 22 + 231 + 211 + 201 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 16490256801 + ... + 16490262999.

Almost surely, 2^{102223121120100} is an apocalyptic number.

102223121120100 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 102223121120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166226021270400).

102223121120100 is an abundant number, since it is smaller than the sum of its proper divisors (230228921420700).

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

102223121120100 is a wasteful number, since it uses less digits than its factorization.

102223121120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11260 (or 11250 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102223121120100 its reverse (1021121322201), we get a palindrome (103244242442301).

The spelling of 102223121120100 in words is "one hundred two trillion, two hundred twenty-three billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".