102111230123100 has 432 divisors, whose sum is σ = 358705350721536. Its totient is φ = 24077808576000.

The previous prime is 102111230123053. The next prime is 102111230123101. The reversal of 102111230123100 is 1321032111201.

102111230123100 is a `hidden beast` number, since 1 + 0 + 2 + 111 + 230 + 12 + 310 + 0 = 666.

It is a super-2 number, since 2×102111230123100² (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 (102111230123101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1242082197 + ... + 1242164403.

Almost surely, 2^{102111230123100} is an apocalyptic number.

102111230123100 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 102111230123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179352675360768).

102111230123100 is an abundant number, since it is smaller than the sum of its proper divisors (256594120598436).

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

102111230123100 is a wasteful number, since it uses less digits than its factorization.

102111230123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85666 (or 85656 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102111230123100 its reverse (1321032111201), we get a palindrome (103432262234301).

The spelling of 102111230123100 in words is "one hundred two trillion, one hundred eleven billion, two hundred thirty million, one hundred twenty-three thousand, one hundred".