10100111020021 has 12 divisors (see below), whose sum is σ = 11101858450956. Its totient is φ = 9181850025920.

The previous prime is 10100111019983. The next prime is 10100111020039. The reversal of 10100111020021 is 12002011100101.

It can be written as a sum of positive squares in 2 ways, for example, as 2650563083025 + 7449547936996 = 1628055^2 + 2729386^2 .

It is not a de Polignac number, because 10100111020021 - 2⁷ = 10100111019893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100111020921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22892121 + ... + 23329153.

It is an arithmetic number, because the mean of its divisors is an integer number (925154870913).

Almost surely, 2^{10100111020021} is an apocalyptic number.

10100111020021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100111020021 is a deficient number, since it is larger than the sum of its proper divisors (1001747430935).

10100111020021 is a wasteful number, since it uses less digits than its factorization.

10100111020021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628052 (or 628041 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10100111020021 its reverse (12002011100101), we get a palindrome (22102122120122).

The spelling of 10100111020021 in words is "ten trillion, one hundred billion, one hundred eleven million, twenty thousand, twenty-one".