100122122021101 has 12 divisors (see below), whose sum is σ = 101797055132916. Its totient is φ = 98474313409920.

The previous prime is 100122122021087. The next prime is 100122122021111. The reversal of 100122122021101 is 101120221221001.

It can be written as a sum of positive squares in 6 ways, for example, as 82342448627076 + 17779673394025 = 9074274^2 + 4216595^2 .

It is not a de Polignac number, because 100122122021101 - 2²¹ = 100122119923949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122122021111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56327785 + ... + 58078081.

It is an arithmetic number, because the mean of its divisors is an integer number (8483087927743).

Almost surely, 2^{100122122021101} is an apocalyptic number.

It is an amenable number.

100122122021101 is a deficient number, since it is larger than the sum of its proper divisors (1674933111815).

100122122021101 is an equidigital number, since it uses as much as digits as its factorization.

100122122021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765792 (or 1765731 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100122122021101 its reverse (101120221221001), we get a palindrome (201242343242102).

The spelling of 100122122021101 in words is "one hundred trillion, one hundred twenty-two billion, one hundred twenty-two million, twenty-one thousand, one hundred one".