10202100100122 has 128 divisors (see below), whose sum is σ = 23681971998720. Its totient is φ = 2869938086400.

The previous prime is 10202100100097. The next prime is 10202100100177. The reversal of 10202100100122 is 22100100120201.

It is a junction number, because it is equal to n+sod(n) for n = 10202100100098 and 10202100100107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 543899568 + ... + 543918324.

It is an arithmetic number, because the mean of its divisors is an integer number (185015406240).

Almost surely, 2^{10202100100122} is an apocalyptic number.

10202100100122 is an abundant number, since it is smaller than the sum of its proper divisors (13479871898598).

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

10202100100122 is a wasteful number, since it uses less digits than its factorization.

10202100100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19676.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10202100100122 its reverse (22100100120201), we get a palindrome (32302200220323).

The spelling of 10202100100122 in words is "ten trillion, two hundred two billion, one hundred million, one hundred thousand, one hundred twenty-two".