100102211211101 has 16 divisors (see below), whose sum is σ = 110043311228928. Its totient is φ = 90303673252800.

The previous prime is 100102211211071. The next prime is 100102211211109. The reversal of 100102211211101 is 101112112201001.

It is a cyclic number.

It is not a de Polignac number, because 100102211211101 - 2²² = 100102207016797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102211211109) 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, 59475410 + ... + 61135331.

It is an arithmetic number, because the mean of its divisors is an integer number (6877706951808).

Almost surely, 2^{100102211211101} is an apocalyptic number.

100102211211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100102211211101 is a deficient number, since it is larger than the sum of its proper divisors (9941100017827).

100102211211101 is a wasteful number, since it uses less digits than its factorization.

100102211211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120611332.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100102211211101 its reverse (101112112201001), we get a palindrome (201214323412102).

The spelling of 100102211211101 in words is "one hundred trillion, one hundred two billion, two hundred eleven million, two hundred eleven thousand, one hundred one".