101113012101 has 32 divisors (see below), whose sum is σ = 146974003200. Its totient is φ = 61621680960.

The previous prime is 101113012073. The next prime is 101113012103. The reversal of 101113012101 is 101210311101.

It is not a de Polignac number, because 101113012101 - 2¹³ = 101113003909 is a prime.

It is a super-2 number, since 2×101113012101² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101113012103) 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, 75586 + ... + 456003.

It is an arithmetic number, because the mean of its divisors is an integer number (4592937600).

Almost surely, 2^101113012101 is an apocalyptic number.

It is an amenable number.

101113012101 is a deficient number, since it is larger than the sum of its proper divisors (45860991099).

101113012101 is a wasteful number, since it uses less digits than its factorization.

101113012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531729.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101113012101 its reverse (101210311101), we get a palindrome (202323323202).

The spelling of 101113012101 in words is "one hundred one billion, one hundred thirteen million, twelve thousand, one hundred one".