101412034031 has 16 divisors (see below), whose sum is σ = 127431352320. Its totient is φ = 78400133280.

The previous prime is 101412034027. The next prime is 101412034037. The reversal of 101412034031 is 130430214101.

It is not a de Polignac number, because 101412034031 - 2² = 101412034027 is a prime.

It is a super-2 number, since 2×101412034031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101412033994 and 101412034012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101412034037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5175416 + ... + 5194973.

It is an arithmetic number, because the mean of its divisors is an integer number (7964459520).

Almost surely, 2^101412034031 is an apocalyptic number.

101412034031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101412034031 is a deficient number, since it is larger than the sum of its proper divisors (26019318289).

101412034031 is a wasteful number, since it uses less digits than its factorization.

101412034031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10370534.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101412034031 its reverse (130430214101), we get a palindrome (231842248132).

The spelling of 101412034031 in words is "one hundred one billion, four hundred twelve million, thirty-four thousand, thirty-one".