100122020111201 has 16 divisors (see below), whose sum is σ = 109351251652608. Its totient is φ = 90914030466000.

The previous prime is 100122020111189. The next prime is 100122020111213. The reversal of 100122020111201 is 102111020221001.

It is an interprime number because it is at equal distance from previous prime (100122020111189) and next prime (100122020111213).

It is a cyclic number.

It is not a de Polignac number, because 100122020111201 - 2⁶ = 100122020111137 is a prime.

It is a super-2 number, since 2×100122020111201² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100122020111501) 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, 53450660 + ... + 55292106.

It is an arithmetic number, because the mean of its divisors is an integer number (6834453228288).

Almost surely, 2^{100122020111201} is an apocalyptic number.

100122020111201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122020111201 is a deficient number, since it is larger than the sum of its proper divisors (9229231541407).

100122020111201 is a wasteful number, since it uses less digits than its factorization.

100122020111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847212.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100122020111201 its reverse (102111020221001), we get a palindrome (202233040332202).

The spelling of 100122020111201 in words is "one hundred trillion, one hundred twenty-two billion, twenty million, one hundred eleven thousand, two hundred one".