1012001122101 has 32 divisors (see below), whose sum is σ = 1429198387200. Its totient is φ = 635636232000.

The previous prime is 1012001122043. The next prime is 1012001122103. The reversal of 1012001122101 is 1012211002101.

It is not a de Polignac number, because 1012001122101 - 2³⁰ = 1010927380277 is a prime.

It is a super-2 number, since 2×1012001122101² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012001122103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5050575 + ... + 5247123.

It is an arithmetic number, because the mean of its divisors is an integer number (44662449600).

Almost surely, 2^{1012001122101} is an apocalyptic number.

It is an amenable number.

1012001122101 is a deficient number, since it is larger than the sum of its proper divisors (417197265099).

1012001122101 is a wasteful number, since it uses less digits than its factorization.

1012001122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197697.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012001122101 its reverse (1012211002101), we get a palindrome (2024212124202).

The spelling of 1012001122101 in words is "one trillion, twelve billion, one million, one hundred twenty-two thousand, one hundred one".