101102100111001 has 8 divisors (see below), whose sum is σ = 115088556648384. Its totient is φ = 87914869661520.

The previous prime is 101102100110933. The next prime is 101102100111043. The reversal of 101102100111001 is 100111001201101.

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

It is not a de Polignac number, because 101102100111001 - 2⁹ = 101102100110489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101102100111401) 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, 199806521706 + ... + 199806522211.

It is an arithmetic number, because the mean of its divisors is an integer number (14386069581048).

Almost surely, 2^{101102100111001} is an apocalyptic number.

101102100111001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102100111001 is a deficient number, since it is larger than the sum of its proper divisors (13986456537383).

101102100111001 is a wasteful number, since it uses less digits than its factorization.

101102100111001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399613043951.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101102100111001 its reverse (100111001201101), we get a palindrome (201213101312102).

The spelling of 101102100111001 in words is "one hundred one trillion, one hundred two billion, one hundred million, one hundred eleven thousand, one".