102210122012020 has 48 divisors (see below), whose sum is σ = 235342697280768. Its totient is φ = 36978650495360.

The previous prime is 102210122012017. The next prime is 102210122012023. The reversal of 102210122012020 is 20210221012201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102210122012017) and next prime (102210122012023).

It is a super-3 number, since 3×102210122012020³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102210122011985 and 102210122012003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210122012023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1179122812 + ... + 1179209491.

It is an arithmetic number, because the mean of its divisors is an integer number (4902972860016).

Almost surely, 2^{102210122012020} is an apocalyptic number.

102210122012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210122012020 is an abundant number, since it is smaller than the sum of its proper divisors (133132575268748).

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

102210122012020 is a wasteful number, since it uses less digits than its factorization.

102210122012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2358332520 (or 2358332518 counting only the distinct ones).

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

Adding to 102210122012020 its reverse (20210221012201), we get a palindrome (122420343024221).

The spelling of 102210122012020 in words is "one hundred two trillion, two hundred ten billion, one hundred twenty-two million, twelve thousand, twenty".