102101112202020 has 48 divisors (see below), whose sum is σ = 285988567632768. Its totient is φ = 27216920066560.

The previous prime is 102101112201973. The next prime is 102101112202027. The reversal of 102101112202020 is 20202211101201.

It is a super-2 number, since 2×102101112202020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (102101112202027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313685589 + ... + 314010908.

It is an arithmetic number, because the mean of its divisors is an integer number (5958095159016).

Almost surely, 2^{102101112202020} is an apocalyptic number.

102101112202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101112202020 is an abundant number, since it is smaller than the sum of its proper divisors (183887455430748).

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

102101112202020 is a wasteful number, since it uses less digits than its factorization.

102101112202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627699220 (or 627699218 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102101112202020 its reverse (20202211101201), we get a palindrome (122303323303221).

The spelling of 102101112202020 in words is "one hundred two trillion, one hundred one billion, one hundred twelve million, two hundred two thousand, twenty".