100100122021101 has 32 divisors (see below), whose sum is σ = 137351893356288. Its totient is φ = 64798285547520.

The previous prime is 100100122021091. The next prime is 100100122021147. The reversal of 100100122021101 is 101120221001001.

It is not a de Polignac number, because 100100122021101 - 2⁷ = 100100122020973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100122023101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158888815 + ... + 159517571.

It is an arithmetic number, because the mean of its divisors is an integer number (4292246667384).

Almost surely, 2^{100100122021101} is an apocalyptic number.

It is an amenable number.

100100122021101 is a deficient number, since it is larger than the sum of its proper divisors (37251771335187).

100100122021101 is a wasteful number, since it uses less digits than its factorization.

100100122021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631701.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100100122021101 its reverse (101120221001001), we get a palindrome (201220343022102).

The spelling of 100100122021101 in words is "one hundred trillion, one hundred billion, one hundred twenty-two million, twenty-one thousand, one hundred one".