100102100110020 has 120 divisors (see below), whose sum is σ = 315651063850584. Its totient is φ = 26555582951424.

The previous prime is 100102100110009. The next prime is 100102100110021. The reversal of 100102100110020 is 20011001201001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20019324695616 + 80082775414404 = 4474296^2 + 8948898^2 .

It is a super-2 number, since 2×100102100110020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100102100109984 and 100102100110011.

It is not an unprimeable number, because it can be changed into a prime (100102100110021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159768739 + ... + 160394058.

Almost surely, 2^{100102100110020} is an apocalyptic number.

100102100110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102100110020 is an abundant number, since it is smaller than the sum of its proper divisors (215548963740564).

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

100102100110020 is a wasteful number, since it uses less digits than its factorization.

100102100110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320163011 (or 320163000 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100102100110020 its reverse (20011001201001), we get a palindrome (120113101311021).

The spelling of 100102100110020 in words is "one hundred trillion, one hundred two billion, one hundred million, one hundred ten thousand, twenty".