102101112201 has 16 divisors (see below), whose sum is σ = 149981116608. Its totient is φ = 61266792000.

The previous prime is 102101112181. The next prime is 102101112257. The reversal of 102101112201 is 102211101201.

It is not a de Polignac number, because 102101112201 - 2³³ = 93511177609 is a prime.

It is a super-2 number, since 2×102101112201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102101112901) 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, 15313366 + ... + 15320031.

It is an arithmetic number, because the mean of its divisors is an integer number (9373819788).

Almost surely, 2^102101112201 is an apocalyptic number.

102101112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101112201 is a deficient number, since it is larger than the sum of its proper divisors (47880004407).

102101112201 is a wasteful number, since it uses less digits than its factorization.

102101112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30633512.

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

Adding to 102101112201 its reverse (102211101201), we get a palindrome (204312213402).

The spelling of 102101112201 in words is "one hundred two billion, one hundred one million, one hundred twelve thousand, two hundred one".