100100021100101 has 8 divisors (see below), whose sum is σ = 109204407627744. Its totient is φ = 90996365340720.

The previous prime is 100100021100089. The next prime is 100100021100113. The reversal of 100100021100101 is 101001120001001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100100021100089) and next prime (100100021100113).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100021100101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100021120101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182405630 + ... + 182953583.

It is an arithmetic number, because the mean of its divisors is an integer number (13650550953468).

Almost surely, 2^{100100021100101} is an apocalyptic number.

100100021100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100021100101 is a deficient number, since it is larger than the sum of its proper divisors (9104386527643).

100100021100101 is a wasteful number, since it uses less digits than its factorization.

100100021100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365384131.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100100021100101 its reverse (101001120001001), we get a palindrome (201101141101102).

The spelling of 100100021100101 in words is "one hundred trillion, one hundred billion, twenty-one million, one hundred thousand, one hundred one".