102223101023100 has 324 divisors, whose sum is σ = 323936382166488. Its totient is φ = 26962933248000.

The previous prime is 102223101023093. The next prime is 102223101023101. The reversal of 102223101023100 is 1320101322201.

102223101023100 is a `hidden beast` number, since 1 + 0 + 22 + 231 + 0 + 102 + 310 + 0 = 666.

102223101023100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102223101023100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102223101023101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 28545963310 + ... + 28545966890.

It is an arithmetic number, because the mean of its divisors is an integer number (999803648662).

Almost surely, 2^{102223101023100} is an apocalyptic number.

102223101023100 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 102223101023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161968191083244).

102223101023100 is an abundant number, since it is smaller than the sum of its proper divisors (221713281143388).

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

102223101023100 is a wasteful number, since it uses less digits than its factorization.

102223101023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7166 (or 7059 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 102223101023100 its reverse (1320101322201), we get a palindrome (103543202345301).

The spelling of 102223101023100 in words is "one hundred two trillion, two hundred twenty-three billion, one hundred one million, twenty-three thousand, one hundred".