100010011201101 has 24 divisors (see below), whose sum is σ = 148087517569056. Its totient is φ = 65014032002400.

The previous prime is 100010011201099. The next prime is 100010011201157. The reversal of 100010011201101 is 101102110010001.

It is not a de Polignac number, because 100010011201101 - 2¹ = 100010011201099 is a prime.

It is a super-2 number, since 2×100010011201101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010011201901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643065175 + ... + 643220676.

It is an arithmetic number, because the mean of its divisors is an integer number (6170313232044).

Almost surely, 2^{100010011201101} is an apocalyptic number.

It is an amenable number.

100010011201101 is a deficient number, since it is larger than the sum of its proper divisors (48077506367955).

100010011201101 is a wasteful number, since it uses less digits than its factorization.

100010011201101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286286073 (or 1286286070 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100010011201101 its reverse (101102110010001), we get a palindrome (201112121211102).

The spelling of 100010011201101 in words is "one hundred trillion, ten billion, eleven million, two hundred one thousand, one hundred one".