100101124122031 has 24 divisors (see below), whose sum is σ = 114462844453584. Its totient is φ = 87178572552960.

The previous prime is 100101124122001. The next prime is 100101124122037. The reversal of 100101124122031 is 130221421101001.

It is not a de Polignac number, because 100101124122031 - 2⁷ = 100101124121903 is a prime.

It is a super-2 number, since 2×100101124122031² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101124122037) 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, 189399880 + ... + 189927661.

It is an arithmetic number, because the mean of its divisors is an integer number (4769285185566).

Almost surely, 2^{100101124122031} is an apocalyptic number.

100101124122031 is a deficient number, since it is larger than the sum of its proper divisors (14361720331553).

100101124122031 is a wasteful number, since it uses less digits than its factorization.

100101124122031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379327639 (or 379327620 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 100101124122031 its reverse (130221421101001), we get a palindrome (230322545223032).

The spelling of 100101124122031 in words is "one hundred trillion, one hundred one billion, one hundred twenty-four million, one hundred twenty-two thousand, thirty-one".