102010122212020 has 96 divisors (see below), whose sum is σ = 236360455059456. Its totient is φ = 36672738816000.

The previous prime is 102010122211999. The next prime is 102010122212021. The reversal of 102010122212020 is 20212221010201.

It is a happy number.

It is a super-2 number, since 2×102010122212020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102010122211985 and 102010122212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010122212021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11543277 + ... + 18364843.

It is an arithmetic number, because the mean of its divisors is an integer number (2462088073536).

Almost surely, 2^{102010122212020} is an apocalyptic number.

102010122212020 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 102010122212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118180227529728).

102010122212020 is an abundant number, since it is smaller than the sum of its proper divisors (134350332847436).

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

102010122212020 is a wasteful number, since it uses less digits than its factorization.

102010122212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6822361 (or 6822359 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102010122212020 its reverse (20212221010201), we get a palindrome (122222343222221).

The spelling of 102010122212020 in words is "one hundred two trillion, ten billion, one hundred twenty-two million, two hundred twelve thousand, twenty".