1012100100111 has 16 divisors (see below), whose sum is σ = 1499721233920. Its totient is φ = 674592244920.

The previous prime is 1012100100097. The next prime is 1012100100131. The reversal of 1012100100111 is 1110010012101.

It is not a de Polignac number, because 1012100100111 - 2¹⁴ = 1012100083727 is a prime.

It is a super-2 number, since 2×1012100100111² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012100100093 and 1012100100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012100100131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3789445 + ... + 4047726.

It is an arithmetic number, because the mean of its divisors is an integer number (93732577120).

Almost surely, 2^{1012100100111} is an apocalyptic number.

1012100100111 is a deficient number, since it is larger than the sum of its proper divisors (487621133809).

1012100100111 is an equidigital number, since it uses as much as digits as its factorization.

1012100100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7841963 (or 7841957 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1012100100111 its reverse (1110010012101), we get a palindrome (2122110112212).

It can be divided in two parts, 10 and 12100100111, that added together give a palindrome (12100100121).

The spelling of 1012100100111 in words is "one trillion, twelve billion, one hundred million, one hundred thousand, one hundred eleven".