101010123100 has 36 divisors (see below), whose sum is σ = 220917915904. Its totient is φ = 40085902080.

The previous prime is 101010123091. The next prime is 101010123103. The reversal of 101010123100 is 1321010101.

101010123100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101010123100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010123103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3964077 + ... + 3989476.

Almost surely, 2^101010123100 is an apocalyptic number.

101010123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010123100 is an abundant number, since it is smaller than the sum of its proper divisors (119907792804).

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

101010123100 is a wasteful number, since it uses less digits than its factorization.

101010123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7953694 (or 7953687 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101010123100 its reverse (1321010101), we get a palindrome (102331133201).

The spelling of 101010123100 in words is "one hundred one billion, ten million, one hundred twenty-three thousand, one hundred".