101121002102021 has 16 divisors (see below), whose sum is σ = 112023592591680. Its totient is φ = 90507847144320.

The previous prime is 101121002102017. The next prime is 101121002102023. The reversal of 101121002102021 is 120201200121101.

It is a cyclic number.

It is not a de Polignac number, because 101121002102021 - 2² = 101121002102017 is a prime.

It is a super-2 number, since 2×101121002102021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101121002101987 and 101121002102005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121002102023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111385406 + ... + 112289583.

It is an arithmetic number, because the mean of its divisors is an integer number (7001474536980).

Almost surely, 2^{101121002102021} is an apocalyptic number.

101121002102021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101121002102021 is a deficient number, since it is larger than the sum of its proper divisors (10902590489659).

101121002102021 is a wasteful number, since it uses less digits than its factorization.

101121002102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223675636.

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

Adding to 101121002102021 its reverse (120201200121101), we get a palindrome (221322202223122).

The spelling of 101121002102021 in words is "one hundred one trillion, one hundred twenty-one billion, two million, one hundred two thousand, twenty-one".