100121022101 has 16 divisors (see below), whose sum is σ = 106113240000. Its totient is φ = 94202418816.

The previous prime is 100121022007. The next prime is 100121022161. The reversal of 100121022101 is 101220121001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100121022101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121022161) 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, 2733215 + ... + 2769603.

It is an arithmetic number, because the mean of its divisors is an integer number (6632077500).

Almost surely, 2^100121022101 is an apocalyptic number.

It is an amenable number.

100121022101 is a deficient number, since it is larger than the sum of its proper divisors (5992217899).

100121022101 is a wasteful number, since it uses less digits than its factorization.

100121022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37396.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100121022101 its reverse (101220121001), we get a palindrome (201341143102).

The spelling of 100121022101 in words is "one hundred billion, one hundred twenty-one million, twenty-two thousand, one hundred one".