100102012011101 has 16 divisors (see below), whose sum is σ = 104503478745600. Its totient is φ = 95704656440448.

The previous prime is 100102012011091. The next prime is 100102012011137. The reversal of 100102012011101 is 101110210201001.

It is a cyclic number.

It is not a de Polignac number, because 100102012011101 - 2⁶ = 100102012011037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102012011151) 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, 425922860 + ... + 426157818.

It is an arithmetic number, because the mean of its divisors is an integer number (6531467421600).

Almost surely, 2^{100102012011101} is an apocalyptic number.

It is an amenable number.

100102012011101 is a deficient number, since it is larger than the sum of its proper divisors (4401466734499).

100102012011101 is a wasteful number, since it uses less digits than its factorization.

100102012011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243628.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100102012011101 its reverse (101110210201001), we get a palindrome (201212222212102).

The spelling of 100102012011101 in words is "one hundred trillion, one hundred two billion, twelve million, eleven thousand, one hundred one".