10100122001021 has 48 divisors (see below), whose sum is σ = 11167027873920. Its totient is φ = 9128954016000.

The previous prime is 10100122001017. The next prime is 10100122001023. The reversal of 10100122001021 is 12010022100101.

It is not a de Polignac number, because 10100122001021 - 2² = 10100122001017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100122000993 and 10100122001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100122001023) 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, 1156807226 + ... + 1156815956.

It is an arithmetic number, because the mean of its divisors is an integer number (232646414040).

Almost surely, 2^{10100122001021} is an apocalyptic number.

It is an amenable number.

10100122001021 is a deficient number, since it is larger than the sum of its proper divisors (1066905872899).

10100122001021 is a wasteful number, since it uses less digits than its factorization.

10100122001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9478 (or 9465 counting only the distinct ones).

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

Adding to 10100122001021 its reverse (12010022100101), we get a palindrome (22110144101122).

The spelling of 10100122001021 in words is "ten trillion, one hundred billion, one hundred twenty-two million, one thousand, twenty-one".