102001212102020 has 96 divisors (see below), whose sum is σ = 267314756567040. Its totient is φ = 31761985875840.

The previous prime is 102001212101993. The next prime is 102001212102037. The reversal of 102001212102020 is 20201212100201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102001212101986 and 102001212102004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30274124 + ... + 33474243.

It is an arithmetic number, because the mean of its divisors is an integer number (2784528714240).

Almost surely, 2^{102001212102020} is an apocalyptic number.

102001212102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001212102020 is an abundant number, since it is smaller than the sum of its proper divisors (165313544465020).

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

102001212102020 is a wasteful number, since it uses less digits than its factorization.

102001212102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63749433 (or 63749431 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102001212102020 its reverse (20201212100201), we get a palindrome (122202424202221).

The spelling of 102001212102020 in words is "one hundred two trillion, one billion, two hundred twelve million, one hundred two thousand, twenty".