102000100222020 has 576 divisors, whose sum is σ = 394107609563136. Its totient is φ = 19035670394880.

The previous prime is 102000100221947. The next prime is 102000100222061. The reversal of 102000100222020 is 20222001000201.

It is a super-3 number, since 3×102000100222020³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 102000100221987 and 102000100222005.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81601869 + ... + 82842411.

It is an arithmetic number, because the mean of its divisors is an integer number (684214599936).

Almost surely, 2^{102000100222020} is an apocalyptic number.

102000100222020 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 102000100222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197053804781568).

102000100222020 is an abundant number, since it is smaller than the sum of its proper divisors (292107509341116).

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

102000100222020 is a wasteful number, since it uses less digits than its factorization.

102000100222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240660 (or 1240621 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102000100222020 its reverse (20222001000201), we get a palindrome (122222101222221).

The spelling of 102000100222020 in words is "one hundred two trillion, one hundred million, two hundred twenty-two thousand, twenty".