2012010010101 has 128 divisors (see below), whose sum is σ = 3699511603200. Its totient is φ = 1052363093760.

The previous prime is 2012010010079. The next prime is 2012010010111. The reversal of 2012010010101 is 1010100102102.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-2012010010101 is a prime.

It is a super-2 number, since 2×2012010010101² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012010010111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 323419171 + ... + 323425391.

It is an arithmetic number, because the mean of its divisors is an integer number (28902434400).

Almost surely, 2^{2012010010101} is an apocalyptic number.

2012010010101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2012010010101 is a deficient number, since it is larger than the sum of its proper divisors (1687501593099).

2012010010101 is a wasteful number, since it uses less digits than its factorization.

2012010010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7336 (or 7330 counting only the distinct ones).

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

Adding to 2012010010101 its reverse (1010100102102), we get a palindrome (3022110112203).

The spelling of 2012010010101 in words is "two trillion, twelve billion, ten million, ten thousand, one hundred one".