100202122020 has 768 divisors, whose sum is σ = 393242959872. Its totient is φ = 18393661440.

The previous prime is 100202121979. The next prime is 100202122051. The reversal of 100202122020 is 20221202001.

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 = 100202121987 and 100202122005.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 148888404 + ... + 148889076.

It is an arithmetic number, because the mean of its divisors is an integer number (512035104).

Almost surely, 2^100202122020 is an apocalyptic number.

100202122020 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 100202122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196621479936).

100202122020 is an abundant number, since it is smaller than the sum of its proper divisors (293040837852).

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

100202122020 is a wasteful number, since it uses less digits than its factorization.

100202122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 818 counting only the distinct ones).

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

Adding to 100202122020 its reverse (20221202001), we get a palindrome (120423324021).

It can be divided in two parts, 100202 and 122020, that added together give a palindrome (222222).

The spelling of 100202122020 in words is "one hundred billion, two hundred two million, one hundred twenty-two thousand, twenty".