100121211120101 has 16 divisors (see below), whose sum is σ = 103481101075968. Its totient is φ = 96808527816000.

The previous prime is 100121211120079. The next prime is 100121211120149. The reversal of 100121211120101 is 101021112121001.

It is not a de Polignac number, because 100121211120101 - 2⁴² = 95723164608997 is a prime.

It is a super-2 number, since 2×100121211120101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121211120191) 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, 24355931 + ... + 28168311.

It is an arithmetic number, because the mean of its divisors is an integer number (6467568817248).

Almost surely, 2^{100121211120101} is an apocalyptic number.

It is an amenable number.

100121211120101 is a deficient number, since it is larger than the sum of its proper divisors (3359889955867).

100121211120101 is a wasteful number, since it uses less digits than its factorization.

100121211120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818572.

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

Adding to 100121211120101 its reverse (101021112121001), we get a palindrome (201142323241102).

The spelling of 100121211120101 in words is "one hundred trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty thousand, one hundred one".