101121022100021 has 8 divisors (see below), whose sum is σ = 126072962618304. Its totient is φ = 78795601636320.

The previous prime is 101121022099969. The next prime is 101121022100023. The reversal of 101121022100021 is 120001220121101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101121022100021 - 2²⁶ = 101120954991157 is a prime.

It is a super-2 number, since 2×101121022100021² (a number of 29 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 = 101121022099969 and 101121022100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121022100023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 656630013560 + ... + 656630013713.

It is an arithmetic number, because the mean of its divisors is an integer number (15759120327288).

Almost surely, 2^{101121022100021} is an apocalyptic number.

101121022100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101121022100021 is a deficient number, since it is larger than the sum of its proper divisors (24951940518283).

101121022100021 is a wasteful number, since it uses less digits than its factorization.

101121022100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313260027291.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101121022100021 its reverse (120001220121101), we get a palindrome (221122242221122).

The spelling of 101121022100021 in words is "one hundred one trillion, one hundred twenty-one billion, twenty-two million, one hundred thousand, twenty-one".