1021120212101 has 32 divisors (see below), whose sum is σ = 1146589516800. Its totient is φ = 901516049280.

The previous prime is 1021120212097. The next prime is 1021120212131. The reversal of 1021120212101 is 1012120211201.

It is not a de Polignac number, because 1021120212101 - 2² = 1021120212097 is a prime.

It is a super-2 number, since 2×1021120212101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021120212131) 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 31 ways as a sum of consecutive naturals, for example, 27990665 + ... + 28027121.

It is an arithmetic number, because the mean of its divisors is an integer number (35830922400).

Almost surely, 2^{1021120212101} is an apocalyptic number.

1021120212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1021120212101 is a deficient number, since it is larger than the sum of its proper divisors (125469304699).

1021120212101 is a wasteful number, since it uses less digits than its factorization.

1021120212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37049.

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

Adding to 1021120212101 its reverse (1012120211201), we get a palindrome (2033240423302).

The spelling of 1021120212101 in words is "one trillion, twenty-one billion, one hundred twenty million, two hundred twelve thousand, one hundred one".