101235100113 has 48 divisors (see below), whose sum is σ = 177360109056. Its totient is φ = 54319196160.

The previous prime is 101235100039. The next prime is 101235100207. The reversal of 101235100113 is 311001532101.

It is not a de Polignac number, because 101235100113 - 2¹³ = 101235091921 is a prime.

It is a super-2 number, since 2×101235100113² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101235100313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351945 + ... + 571257.

It is an arithmetic number, because the mean of its divisors is an integer number (3695002272).

Almost surely, 2^101235100113 is an apocalyptic number.

It is an amenable number.

101235100113 is a deficient number, since it is larger than the sum of its proper divisors (76125008943).

101235100113 is a wasteful number, since it uses less digits than its factorization.

101235100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219774 (or 219771 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 101235100113 its reverse (311001532101), we get a palindrome (412236632214).

The spelling of 101235100113 in words is "one hundred one billion, two hundred thirty-five million, one hundred thousand, one hundred thirteen".