100102132020 has 96 divisors (see below), whose sum is σ = 306151767936. Its totient is φ = 24236608000.

The previous prime is 100102132003. The next prime is 100102132021. The reversal of 100102132020 is 20231201001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100102131987 and 100102132005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102132021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430870 + ... + 621170.

It is an arithmetic number, because the mean of its divisors is an integer number (3189080916).

Almost surely, 2^100102132020 is an apocalyptic number.

100102132020 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 100102132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153075883968).

100102132020 is an abundant number, since it is smaller than the sum of its proper divisors (206049635916).

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

100102132020 is a wasteful number, since it uses less digits than its factorization.

100102132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191121 (or 191119 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100102132020 its reverse (20231201001), we get a palindrome (120333333021).

The spelling of 100102132020 in words is "one hundred billion, one hundred two million, one hundred thirty-two thousand, twenty".