102100010120020 has 96 divisors (see below), whose sum is σ = 237403163523456. Its totient is φ = 36571558848000.

The previous prime is 102100010119969. The next prime is 102100010120023. The reversal of 102100010120020 is 20021010001201.

It is a super-3 number, since 3×102100010120020³ (a number of 43 digits) contains 333 as substring.

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 = 102100010119979 and 102100010120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100010120023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372799854 + ... + 373073626.

It is an arithmetic number, because the mean of its divisors is an integer number (2472949620036).

Almost surely, 2^{102100010120020} is an apocalyptic number.

102100010120020 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 102100010120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118701581761728).

102100010120020 is an abundant number, since it is smaller than the sum of its proper divisors (135303153403436).

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

102100010120020 is a wasteful number, since it uses less digits than its factorization.

102100010120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299161 (or 299159 counting only the distinct ones).

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

Adding to 102100010120020 its reverse (20021010001201), we get a palindrome (122121020121221).

The spelling of 102100010120020 in words is "one hundred two trillion, one hundred billion, ten million, one hundred twenty thousand, twenty".