1012101112101 has 16 divisors (see below), whose sum is σ = 1398977948160. Its totient is φ = 650166005760.

The previous prime is 1012101112003. The next prime is 1012101112177. The reversal of 1012101112101 is 1012111012101.

It is not a de Polignac number, because 1012101112101 - 2¹⁷ = 1012100981029 is a prime.

It is a super-2 number, since 2×1012101112101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012101112501) 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, 23331996 + ... + 23375333.

It is an arithmetic number, because the mean of its divisors is an integer number (87436121760).

Almost surely, 2^{1012101112101} is an apocalyptic number.

It is an amenable number.

1012101112101 is a deficient number, since it is larger than the sum of its proper divisors (386876836059).

1012101112101 is a wasteful number, since it uses less digits than its factorization.

1012101112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46707596.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1012101112101 its reverse (1012111012101), we get a palindrome (2024212124202).

The spelling of 1012101112101 in words is "one trillion, twelve billion, one hundred one million, one hundred twelve thousand, one hundred one".