10100122100020 has 12 divisors (see below), whose sum is σ = 21210256410084. Its totient is φ = 4040048840000.

The previous prime is 10100122100009. The next prime is 10100122100111. The reversal of 10100122100020 is 2000122100101.

It can be written as a sum of positive squares in 2 ways, for example, as 5276493831844 + 4823628268176 = 2297062^2 + 2196276^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252503052481 + ... + 252503052520.

It is an arithmetic number, because the mean of its divisors is an integer number (1767521367507).

Almost surely, 2^{10100122100020} is an apocalyptic number.

10100122100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100122100020 is an abundant number, since it is smaller than the sum of its proper divisors (11110134310064).

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

10100122100020 is a wasteful number, since it uses less digits than its factorization.

10100122100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505006105010 (or 505006105008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10100122100020 its reverse (2000122100101), we get a palindrome (12100244200121).

The spelling of 10100122100020 in words is "ten trillion, one hundred billion, one hundred twenty-two million, one hundred thousand, twenty".