101122101201 has 16 divisors (see below), whose sum is σ = 147332275200. Its totient is φ = 61183795920.

The previous prime is 101122101193. The next prime is 101122101229. The reversal of 101122101201 is 102101221101.

It is not a de Polignac number, because 101122101201 - 2³ = 101122101193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101122101251) 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, 2538085 + ... + 2577618.

It is an arithmetic number, because the mean of its divisors is an integer number (9208267200).

Almost surely, 2^101122101201 is an apocalyptic number.

101122101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122101201 is a deficient number, since it is larger than the sum of its proper divisors (46210173999).

101122101201 is a wasteful number, since it uses less digits than its factorization.

101122101201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5116316.

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

Adding to 101122101201 its reverse (102101221101), we get a palindrome (203223322302).

The spelling of 101122101201 in words is "one hundred one billion, one hundred twenty-two million, one hundred one thousand, two hundred one".