100122021121001 has 48 divisors (see below), whose sum is σ = 116065987551360. Its totient is φ = 85624429440000.

The previous prime is 100122021120977. The next prime is 100122021121021. The reversal of 100122021121001 is 100121120221001.

It is not a de Polignac number, because 100122021121001 - 2¹⁰ = 100122021119977 is a prime.

It is a super-2 number, since 2×100122021121001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100122021121021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4078111676 + ... + 4078136226.

It is an arithmetic number, because the mean of its divisors is an integer number (2418041407320).

Almost surely, 2^{100122021121001} is an apocalyptic number.

100122021121001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100122021121001 is a deficient number, since it is larger than the sum of its proper divisors (15943966430359).

100122021121001 is a wasteful number, since it uses less digits than its factorization.

100122021121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36158 (or 36135 counting only the distinct ones).

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

Adding to 100122021121001 its reverse (100121120221001), we get a palindrome (200243141342002).

The spelling of 100122021121001 in words is "one hundred trillion, one hundred twenty-two billion, twenty-one million, one hundred twenty-one thousand, one".