100210100122121 has 16 divisors (see below), whose sum is σ = 110123040526848. Its totient is φ = 90431041680000.

The previous prime is 100210100122073. The next prime is 100210100122193. The reversal of 100210100122121 is 121221001012001.

It is a cyclic number.

It is not a de Polignac number, because 100210100122121 - 2³⁸ = 99935222215177 is a prime.

It is a super-2 number, since 2×100210100122121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100210100122096 and 100210100122105.

It is not an unprimeable number, because it can be changed into a prime (100210100122421) 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, 32119871 + ... + 35101371.

It is an arithmetic number, because the mean of its divisors is an integer number (6882690032928).

Almost surely, 2^{100210100122121} is an apocalyptic number.

100210100122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210100122121 is a deficient number, since it is larger than the sum of its proper divisors (9912940404727).

100210100122121 is a wasteful number, since it uses less digits than its factorization.

100210100122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003952.

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

Adding to 100210100122121 its reverse (121221001012001), we get a palindrome (221431101134122).

The spelling of 100210100122121 in words is "one hundred trillion, two hundred ten billion, one hundred million, one hundred twenty-two thousand, one hundred twenty-one".