102101101101201 has 16 divisors (see below), whose sum is σ = 137483529372288. Its totient is φ = 67393045200000.

The previous prime is 102101101101193. The next prime is 102101101101281.

102101101101201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102101101101201 - 2³ = 102101101101193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102101101101281) 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, 51944076 + ... + 53873826.

It is an arithmetic number, because the mean of its divisors is an integer number (8592720585768).

Almost surely, 2^{102101101101201} is an apocalyptic number.

It is an amenable number.

102101101101201 is a deficient number, since it is larger than the sum of its proper divisors (35382428271087).

102101101101201 is a wasteful number, since it uses less digits than its factorization.

102101101101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104472.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 10210110 and 1101201, that added together give a palindrome (11311311).

The spelling of 102101101101201 in words is "one hundred two trillion, one hundred one billion, one hundred one million, one hundred one thousand, two hundred one".