101102101222001 has 16 divisors (see below), whose sum is σ = 111943092583680. Its totient is φ = 90536183012880.

The previous prime is 101102101221959. The next prime is 101102101222043. The reversal of 101102101222001 is 100222101201101.

It is an interprime number because it is at equal distance from previous prime (101102101221959) and next prime (101102101222043).

It is not a de Polignac number, because 101102101222001 - 2²² = 101102097027697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101102101221001) 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, 20034110 + ... + 24567656.

It is an arithmetic number, because the mean of its divisors is an integer number (6996443286480).

Almost surely, 2^{101102101222001} is an apocalyptic number.

101102101222001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102101222001 is a deficient number, since it is larger than the sum of its proper divisors (10840991361679).

101102101222001 is a wasteful number, since it uses less digits than its factorization.

101102101222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563884.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101102101222001 its reverse (100222101201101), we get a palindrome (201324202423102).

The spelling of 101102101222001 in words is "one hundred one trillion, one hundred two billion, one hundred one million, two hundred twenty-two thousand, one".