102101221101 has 32 divisors (see below), whose sum is σ = 157452019200. Its totient is φ = 58200914880.

The previous prime is 102101221081. The next prime is 102101221133. The reversal of 102101221101 is 101122101201.

It is not a de Polignac number, because 102101221101 - 2⁶ = 102101221037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101221181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 498606 + ... + 672911.

It is an arithmetic number, because the mean of its divisors is an integer number (4920375600).

Almost surely, 2^102101221101 is an apocalyptic number.

102101221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101221101 is a deficient number, since it is larger than the sum of its proper divisors (55350798099).

102101221101 is a wasteful number, since it uses less digits than its factorization.

102101221101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171689.

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

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

The spelling of 102101221101 in words is "one hundred two billion, one hundred one million, two hundred twenty-one thousand, one hundred one".