102012100010020 has 24 divisors (see below), whose sum is σ = 216190780759800. Its totient is φ = 40430483672832.

The previous prime is 102012100009973. The next prime is 102012100010027. The reversal of 102012100010020 is 20010001210201.

It can be written as a sum of positive squares in 4 ways, for example, as 4501254451456 + 97510845558564 = 2121616^2 + 9874758^2 .

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 = 102012100009979 and 102012100010006.

It is not an unprimeable number, because it can be changed into a prime (102012100010027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23397268465 + ... + 23397272824.

It is an arithmetic number, because the mean of its divisors is an integer number (9007949198325).

Almost surely, 2^{102012100010020} is an apocalyptic number.

102012100010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012100010020 is an abundant number, since it is smaller than the sum of its proper divisors (114178680749780).

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

102012100010020 is a wasteful number, since it uses less digits than its factorization.

102012100010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46794541407 (or 46794541405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102012100010020 its reverse (20010001210201), we get a palindrome (122022101220221).

The spelling of 102012100010020 in words is "one hundred two trillion, twelve billion, one hundred million, ten thousand, twenty".