102101001101 has 8 divisors (see below), whose sum is σ = 112485712608. Its totient is φ = 91900090000.

The previous prime is 102101001091. The next prime is 102101001127. The reversal of 102101001101 is 101100101201.

It is a happy number.

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 102101001101 - 2¹⁴ = 102100984717 is a prime.

It is a super-2 number, since 2×102101001101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101001151) 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, 45948935 + ... + 45951156.

It is an arithmetic number, because the mean of its divisors is an integer number (14060714076).

Almost surely, 2^102101001101 is an apocalyptic number.

102101001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101001101 is a deficient number, since it is larger than the sum of its proper divisors (10384711507).

102101001101 is a wasteful number, since it uses less digits than its factorization.

102101001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91900203.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 102101001101 its reverse (101100101201), we get a palindrome (203201102302).

It can be divided in two parts, 10210100 and 1101, that added together give a palindrome (10211201).

The spelling of 102101001101 in words is "one hundred two billion, one hundred one million, one thousand, one hundred one".