100122021111101 has 16 divisors (see below), whose sum is σ = 117646438525440. Its totient is φ = 84224154838320.

The previous prime is 100122021111089. The next prime is 100122021111103. The reversal of 100122021111101 is 101111120221001.

It is a cyclic number.

It is not a de Polignac number, because 100122021111101 - 2³⁴ = 100104841241917 is a prime.

It is a super-2 number, since 2×100122021111101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122021111103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5570371625 + ... + 5570389598.

It is an arithmetic number, because the mean of its divisors is an integer number (7352902407840).

Almost surely, 2^{100122021111101} is an apocalyptic number.

100122021111101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122021111101 is a deficient number, since it is larger than the sum of its proper divisors (17524417414339).

100122021111101 is a wasteful number, since it uses less digits than its factorization.

100122021111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11140761296.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100122021111101 its reverse (101111120221001), we get a palindrome (201233141332102).

The spelling of 100122021111101 in words is "one hundred trillion, one hundred twenty-two billion, twenty-one million, one hundred eleven thousand, one hundred one".