100102100020 has 96 divisors (see below), whose sum is σ = 238794796800. Its totient is φ = 34942731264.

The previous prime is 100102100003. The next prime is 100102100069. The reversal of 100102100020 is 20001201001.

It is a junction number, because it is equal to n+sod(n) for n = 100102099976 and 100102100012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2384976 + ... + 2426584.

It is an arithmetic number, because the mean of its divisors is an integer number (2487445800).

Almost surely, 2^100102100020 is an apocalyptic number.

100102100020 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 100102100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119397398400).

100102100020 is an abundant number, since it is smaller than the sum of its proper divisors (138692696780).

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

100102100020 is a wasteful number, since it uses less digits than its factorization.

100102100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42137 (or 42135 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100102100020 its reverse (20001201001), we get a palindrome (120103301021).

The spelling of 100102100020 in words is "one hundred billion, one hundred two million, one hundred thousand, twenty".