1010112000101 has 32 divisors (see below), whose sum is σ = 1092441600000. Its totient is φ = 930954036672.

The previous prime is 1010112000047. The next prime is 1010112000119. The reversal of 1010112000101 is 1010002110101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1010112000101 - 2²² = 1010107805797 is a prime.

It is a super-3 number, since 3×1010112000101³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010112003101) 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, 232260875 + ... + 232265223.

It is an arithmetic number, because the mean of its divisors is an integer number (34138800000).

Almost surely, 2^{1010112000101} is an apocalyptic number.

It is an amenable number.

1010112000101 is a deficient number, since it is larger than the sum of its proper divisors (82329599899).

1010112000101 is a wasteful number, since it uses less digits than its factorization.

1010112000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5921.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1010112000101 its reverse (1010002110101), we get a palindrome (2020114110202).

The spelling of 1010112000101 in words is "one trillion, ten billion, one hundred twelve million, one hundred one", and thus it is an aban number.