1012024202101 has 12 divisors (see below), whose sum is σ = 1112577021612. Its totient is φ = 919867520000.

The previous prime is 1012024202083. The next prime is 1012024202107.

1012024202101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 43520218225 + 968503983876 = 208615^2 + 984126^2 .

It is not a de Polignac number, because 1012024202101 - 2⁵ = 1012024202069 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 (1012024202107) 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, 24501 + ... + 1422901.

It is an arithmetic number, because the mean of its divisors is an integer number (92714751801).

Almost surely, 2^{1012024202101} is an apocalyptic number.

1012024202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012024202101 is a deficient number, since it is larger than the sum of its proper divisors (100552819511).

1012024202101 is a wasteful number, since it uses less digits than its factorization.

1012024202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1404404 (or 1404393 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The spelling of 1012024202101 in words is "one trillion, twelve billion, twenty-four million, two hundred two thousand, one hundred one".