1012010002101 has 18 divisors (see below), whose sum is σ = 1700452181142. Its totient is φ = 578291429520.

The previous prime is 1012010002063. The next prime is 1012010002117. The reversal of 1012010002101 is 1012000102101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 926877935025 + 85132067076 = 962745^2 + 291774^2 .

It is not a de Polignac number, because 1012010002101 - 2¹⁴ = 1012009985717 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012010042101) 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 17 ways as a sum of consecutive naturals, for example, 1147403190 + ... + 1147404071.

It is an arithmetic number, because the mean of its divisors is an integer number (94469565619).

Almost surely, 2^{1012010002101} is an apocalyptic number.

It is an amenable number.

1012010002101 is a deficient number, since it is larger than the sum of its proper divisors (688442179041).

1012010002101 is a wasteful number, since it uses less digits than its factorization.

1012010002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294807281 (or 2294807271 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1012010002101 its reverse (1012000102101), we get a palindrome (2024010104202).

The spelling of 1012010002101 in words is "one trillion, twelve billion, ten million, two thousand, one hundred one".