101102112021 has 8 divisors (see below), whose sum is σ = 137087609760. Its totient is φ = 66259011152.

The previous prime is 101102111993. The next prime is 101102112091. The reversal of 101102112021 is 120211201101.

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 101102112021 - 2⁵ = 101102111989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102111988 and 101102112006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102112091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 285599010 + ... + 285599363.

It is an arithmetic number, because the mean of its divisors is an integer number (17135951220).

Almost surely, 2^101102112021 is an apocalyptic number.

It is an amenable number.

101102112021 is a deficient number, since it is larger than the sum of its proper divisors (35985497739).

101102112021 is an equidigital number, since it uses as much as digits as its factorization.

101102112021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571198435.

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

Adding to 101102112021 its reverse (120211201101), we get a palindrome (221313313122).

The spelling of 101102112021 in words is "one hundred one billion, one hundred two million, one hundred twelve thousand, twenty-one".