100121200101 has 12 divisors (see below), whose sum is σ = 155744089228. Its totient is φ = 61613046144.

The previous prime is 100121200073. The next prime is 100121200117. The reversal of 100121200101 is 101002121001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6209597601 + 93911602500 = 78801^2 + 306450^2 .

It is not a de Polignac number, because 100121200101 - 2⁹ = 100121199589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121202101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427868260 + ... + 427868493.

Almost surely, 2^100121200101 is an apocalyptic number.

It is an amenable number.

100121200101 is a deficient number, since it is larger than the sum of its proper divisors (55622889127).

100121200101 is a wasteful number, since it uses less digits than its factorization.

100121200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855736772 (or 855736769 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100121200101 its reverse (101002121001), we get a palindrome (201123321102).

The spelling of 100121200101 in words is "one hundred billion, one hundred twenty-one million, two hundred thousand, one hundred one".