10121022100021 has 12 divisors (see below), whose sum is σ = 11773576183980. Its totient is φ = 8675056938240.

The previous prime is 10121022099989. The next prime is 10121022100067. The reversal of 10121022100021 is 12000122012101.

It can be written as a sum of positive squares in 2 ways, for example, as 2971869135921 + 7149152964100 = 1723911^2 + 2673790^2 .

It is not a de Polignac number, because 10121022100021 - 2⁵ = 10121022099989 is a prime.

It is a super-2 number, since 2×10121022100021² (a number of 27 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 = 10121022099974 and 10121022100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121022100421) 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, 2992261 + ... + 5403301.

It is an arithmetic number, because the mean of its divisors is an integer number (981131348665).

Almost surely, 2^{10121022100021} is an apocalyptic number.

It is an amenable number.

10121022100021 is a deficient number, since it is larger than the sum of its proper divisors (1652554083959).

10121022100021 is an equidigital number, since it uses as much as digits as its factorization.

10121022100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496724 (or 2496717 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10121022100021 its reverse (12000122012101), we get a palindrome (22121144112122).

The spelling of 10121022100021 in words is "ten trillion, one hundred twenty-one billion, twenty-two million, one hundred thousand, twenty-one".