102132023120100 has 216 divisors, whose sum is σ = 336985391346240. Its totient is φ = 25801051357440.

The previous prime is 102132023120087. The next prime is 102132023120107. The reversal of 102132023120100 is 1021320231201.

102132023120100 is a `hidden beast` number, since 1 + 0 + 21 + 320 + 2 + 312 + 0 + 10 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102132023120107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 882421834 + ... + 882537566.

Almost surely, 2^{102132023120100} is an apocalyptic number.

102132023120100 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 102132023120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168492695673120).

102132023120100 is an abundant number, since it is smaller than the sum of its proper divisors (234853368226140).

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

102132023120100 is a wasteful number, since it uses less digits than its factorization.

102132023120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167379 (or 167369 counting only the distinct ones).

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

Adding to 102132023120100 its reverse (1021320231201), we get a palindrome (103153343351301).

102132023120100 divided by its reverse (1021320231201) gives a square (100 = 10²).

The spelling of 102132023120100 in words is "one hundred two trillion, one hundred thirty-two billion, twenty-three million, one hundred twenty thousand, one hundred".