101120222300031 has 12 divisors (see below), whose sum is σ = 159340956351720. Its totient is φ = 61284983212080.

The previous prime is 101120222300023. The next prime is 101120222300039. The reversal of 101120222300031 is 130003222021101.

101120222300031 is a `hidden beast` number, since 1 + 0 + 112 + 0 + 222 + 300 + 0 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (101120222300023) and next prime (101120222300039).

It is not a de Polignac number, because 101120222300031 - 2³ = 101120222300023 is a prime.

It is a super-2 number, since 2×101120222300031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101120222299977 and 101120222300013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120222300039) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 510708193336 + ... + 510708193533.

It is an arithmetic number, because the mean of its divisors is an integer number (13278413029310).

Almost surely, 2^{101120222300031} is an apocalyptic number.

101120222300031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101120222300031 is a deficient number, since it is larger than the sum of its proper divisors (58220734051689).

101120222300031 is a wasteful number, since it uses less digits than its factorization.

101120222300031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021416386886 (or 1021416386883 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101120222300031 its reverse (130003222021101), we get a palindrome (231123444321132).

The spelling of 101120222300031 in words is "one hundred one trillion, one hundred twenty billion, two hundred twenty-two million, three hundred thousand, thirty-one".