100110022022101 has 32 divisors (see below), whose sum is σ = 130413754016000. Its totient is φ = 74624510269440.

The previous prime is 100110022022047. The next prime is 100110022022123. The reversal of 100110022022101 is 101220220011001.

It is a cyclic number.

It is not a de Polignac number, because 100110022022101 - 2⁹ = 100110022021589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110025022101) 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, 159633276 + ... + 160259173.

It is an arithmetic number, because the mean of its divisors is an integer number (4075429813000).

Almost surely, 2^{100110022022101} is an apocalyptic number.

It is an amenable number.

100110022022101 is a deficient number, since it is larger than the sum of its proper divisors (30303731993899).

100110022022101 is a wasteful number, since it uses less digits than its factorization.

100110022022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319892669.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100110022022101 its reverse (101220220011001), we get a palindrome (201330242033102).

The spelling of 100110022022101 in words is "one hundred trillion, one hundred ten billion, twenty-two million, twenty-two thousand, one hundred one".