20101020102119 has 24 divisors (see below), whose sum is σ = 22728092259600. Its totient is φ = 17609716938240.

The previous prime is 20101020102101. The next prime is 20101020102197. The reversal of 20101020102119 is 91120102010102.

It is not a de Polignac number, because 20101020102119 - 2¹² = 20101020098023 is a prime.

It is a super-2 number, since 2×20101020102119² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20101020102119.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101020102199) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87140567 + ... + 87370935.

It is an arithmetic number, because the mean of its divisors is an integer number (947003844150).

Almost surely, 2^{20101020102119} is an apocalyptic number.

20101020102119 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

20101020102119 is a deficient number, since it is larger than the sum of its proper divisors (2627072157481).

20101020102119 is an equidigital number, since it uses as much as digits as its factorization.

20101020102119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231455 (or 230932 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 20101020102119 in words is "twenty trillion, one hundred one billion, twenty million, one hundred two thousand, one hundred nineteen".