101102002220021 has 8 divisors (see below), whose sum is σ = 110293236029088. Its totient is φ = 91910792194000.

The previous prime is 101102002219973. The next prime is 101102002220029. The reversal of 101102002220021 is 120022200201101.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102002220021 is a prime.

It is a super-2 number, since 2×101102002220021² (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 = 101102002219978 and 101102002220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102002220029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3610526 + ... + 14671056.

It is an arithmetic number, because the mean of its divisors is an integer number (13786654503636).

Almost surely, 2^{101102002220021} is an apocalyptic number.

101102002220021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102002220021 is a deficient number, since it is larger than the sum of its proper divisors (9191233809067).

101102002220021 is a wasteful number, since it uses less digits than its factorization.

101102002220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11891523.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101102002220021 its reverse (120022200201101), we get a palindrome (221124202421122).

The spelling of 101102002220021 in words is "one hundred one trillion, one hundred two billion, two million, two hundred twenty thousand, twenty-one".