101042010100 has 18 divisors (see below), whose sum is σ = 219261162134. Its totient is φ = 40416804000.

The previous prime is 101042010031. The next prime is 101042010119. The reversal of 101042010100 is 1010240101.

It can be written as a sum of positive squares in 3 ways, for example, as 56610576 + 100985399524 = 7524^2 + 317782^2 .

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

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, 505209951 + ... + 505210150.

Almost surely, 2^101042010100 is an apocalyptic number.

101042010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101042010100 is an abundant number, since it is smaller than the sum of its proper divisors (118219152034).

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

101042010100 is a wasteful number, since it uses less digits than its factorization.

101042010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010420115 (or 1010420108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101042010100 its reverse (1010240101), we get a palindrome (102052250201).

The spelling of 101042010100 in words is "one hundred one billion, forty-two million, ten thousand, one hundred".