100210012122020 has 24 divisors (see below), whose sum is σ = 217697612542200. Its totient is φ = 38701797784832.

The previous prime is 100210012122019. The next prime is 100210012122083. The reversal of 100210012122020 is 20221210012001.

It can be written as a sum of positive squares in 4 ways, for example, as 3347882597284 + 96862129524736 = 1829722^2 + 9841856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100210012121986 and 100210012122004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86387940905 + ... + 86387942064.

It is an arithmetic number, because the mean of its divisors is an integer number (9070733855925).

Almost surely, 2^{100210012122020} is an apocalyptic number.

100210012122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210012122020 is an abundant number, since it is smaller than the sum of its proper divisors (117487600420180).

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

100210012122020 is a wasteful number, since it uses less digits than its factorization.

100210012122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172775883007 (or 172775883005 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100210012122020 its reverse (20221210012001), we get a palindrome (120431222134021).

The spelling of 100210012122020 in words is "one hundred trillion, two hundred ten billion, twelve million, one hundred twenty-two thousand, twenty".