102011001110020 has 24 divisors (see below), whose sum is σ = 215310529254744. Its totient is φ = 40597271506176.

The previous prime is 102011001110017. The next prime is 102011001110041. The reversal of 102011001110020 is 20011100110201.

It can be written as a sum of positive squares in 4 ways, for example, as 42773718986244 + 59237282123776 = 6540162^2 + 7696576^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102011001109979 and 102011001110006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12945554577 + ... + 12945562456.

It is an arithmetic number, because the mean of its divisors is an integer number (8971272052281).

Almost surely, 2^{102011001110020} is an apocalyptic number.

102011001110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011001110020 is an abundant number, since it is smaller than the sum of its proper divisors (113299528144724).

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

102011001110020 is a wasteful number, since it uses less digits than its factorization.

102011001110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25891117239 (or 25891117237 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 102011001110020 its reverse (20011100110201), we get a palindrome (122022101220221).

The spelling of 102011001110020 in words is "one hundred two trillion, eleven billion, one million, one hundred ten thousand, twenty".