101123301031100 has 18 divisors (see below), whose sum is σ = 219437563237704. Its totient is φ = 40449320412400.

The previous prime is 101123301031079. The next prime is 101123301031121. The reversal of 101123301031100 is 1130103321101.

It is an interprime number because it is at equal distance from previous prime (101123301031079) and next prime (101123301031121).

It is a super-2 number, since 2×101123301031100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505616505056 + ... + 505616505255.

It is an arithmetic number, because the mean of its divisors is an integer number (12190975735428).

Almost surely, 2^{101123301031100} is an apocalyptic number.

101123301031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101123301031100 is an abundant number, since it is smaller than the sum of its proper divisors (118314262206604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101123301031100 is a wasteful number, since it uses less digits than its factorization.

101123301031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011233010325 (or 1011233010318 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 101123301031100 its reverse (1130103321101), we get a palindrome (102253404352201).

The spelling of 101123301031100 in words is "one hundred one trillion, one hundred twenty-three billion, three hundred one million, thirty-one thousand, one hundred".