101022121021 has 8 divisors (see below), whose sum is σ = 101138004864. Its totient is φ = 100906307040.

The previous prime is 101022121009. The next prime is 101022121033. The reversal of 101022121021 is 120121220101.

It is an interprime number because it is at equal distance from previous prime (101022121009) and next prime (101022121033).

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 101022121021 - 2⁷ = 101022120893 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101022120992 and 101022121010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022121091) 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, 3208065 + ... + 3239401.

It is an arithmetic number, because the mean of its divisors is an integer number (12642250608).

Almost surely, 2^101022121021 is an apocalyptic number.

It is an amenable number.

101022121021 is a deficient number, since it is larger than the sum of its proper divisors (115883843).

101022121021 is a wasteful number, since it uses less digits than its factorization.

101022121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34931.

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

Adding to 101022121021 its reverse (120121220101), we get a palindrome (221143341122).

The spelling of 101022121021 in words is "one hundred one billion, twenty-two million, one hundred twenty-one thousand, twenty-one".