102020001010120 has 64 divisors (see below), whose sum is σ = 237706708400640. Its totient is φ = 39365441856000.

The previous prime is 102020001010117. The next prime is 102020001010129. The reversal of 102020001010120 is 21010100020201.

It is a super-2 number, since 2×102020001010120² (a number of 29 digits) contains 22 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 = 102020001010097 and 102020001010106.

It is not an unprimeable number, because it can be changed into a prime (102020001010129) 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 15 ways as a sum of consecutive naturals, for example, 131040306 + ... + 131816545.

It is an arithmetic number, because the mean of its divisors is an integer number (3714167318760).

Almost surely, 2^{102020001010120} is an apocalyptic number.

102020001010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102020001010120 is an abundant number, since it is smaller than the sum of its proper divisors (135686707390520).

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

102020001010120 is a wasteful number, since it uses less digits than its factorization.

102020001010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262857206 (or 262857202 counting only the distinct ones).

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

Adding to 102020001010120 its reverse (21010100020201), we get a palindrome (123030101030321).

The spelling of 102020001010120 in words is "one hundred two trillion, twenty billion, one million, ten thousand, one hundred twenty".