101122101021 has 48 divisors (see below), whose sum is σ = 139998789504. Its totient is φ = 64899360000.

The previous prime is 101122101019. The next prime is 101122101023. The reversal of 101122101021 is 120101221101.

It is an interprime number because it is at equal distance from previous prime (101122101019) and next prime (101122101023).

It is not a de Polignac number, because 101122101021 - 2¹ = 101122101019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101122100988 and 101122101006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122101023) 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, 558685551 + ... + 558685731.

It is an arithmetic number, because the mean of its divisors is an integer number (2916641448).

Almost surely, 2^101122101021 is an apocalyptic number.

It is an amenable number.

101122101021 is a deficient number, since it is larger than the sum of its proper divisors (38876688483).

101122101021 is a wasteful number, since it uses less digits than its factorization.

101122101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101122101021 its reverse (120101221101), we get a palindrome (221223322122).

The spelling of 101122101021 in words is "one hundred one billion, one hundred twenty-two million, one hundred one thousand, twenty-one".