100011000102101 has 16 divisors (see below), whose sum is σ = 115721848281600. Its totient is φ = 85476365161200.

The previous prime is 100011000102077. The next prime is 100011000102109. The reversal of 100011000102101 is 101201000110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100011000102101 - 2¹⁸ = 100010999839957 is a prime.

It is a super-2 number, since 2×100011000102101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011000102109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1826390681 + ... + 1826445438.

It is an arithmetic number, because the mean of its divisors is an integer number (7232615517600).

Almost surely, 2^{100011000102101} is an apocalyptic number.

100011000102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011000102101 is a deficient number, since it is larger than the sum of its proper divisors (15710848179499).

100011000102101 is a wasteful number, since it uses less digits than its factorization.

100011000102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3652836280.

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

Adding to 100011000102101 its reverse (101201000110001), we get a palindrome (201212000212102).

The spelling of 100011000102101 in words is "one hundred trillion, eleven billion, one hundred two thousand, one hundred one".