101102000122101 has 8 divisors (see below), whose sum is σ = 147057454723104. Its totient is φ = 61273939467920.

The previous prime is 101102000122093. The next prime is 101102000122117. The reversal of 101102000122101 is 101221000201101.

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

It is a cyclic number.

It is not a de Polignac number, because 101102000122101 - 2³ = 101102000122093 is a prime.

It is a super-2 number, since 2×101102000122101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102000162101) 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, 1531848486666 + ... + 1531848486731.

It is an arithmetic number, because the mean of its divisors is an integer number (18382181840388).

Almost surely, 2^{101102000122101} is an apocalyptic number.

101102000122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102000122101 is a deficient number, since it is larger than the sum of its proper divisors (45955454601003).

101102000122101 is a wasteful number, since it uses less digits than its factorization.

101102000122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3063696973411.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101102000122101 its reverse (101221000201101), we get a palindrome (202323000323202).

The spelling of 101102000122101 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-two thousand, one hundred one".