10100091010100 has 72 divisors (see below), whose sum is σ = 26975012322048. Its totient is φ = 3196512316800.

The previous prime is 10100091010091. The next prime is 10100091010103. The reversal of 10100091010100 is 101019000101.

It is a happy number.

10100091010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100091010103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554940956 + ... + 554959155.

Almost surely, 2^{10100091010100} is an apocalyptic number.

10100091010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100091010100 is an abundant number, since it is smaller than the sum of its proper divisors (16874921311948).

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

10100091010100 is a wasteful number, since it uses less digits than its factorization.

10100091010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109900145 (or 1109900138 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

The spelling of 10100091010100 in words is "ten trillion, one hundred billion, ninety-one million, ten thousand, one hundred".