101201111121 has 32 divisors (see below), whose sum is σ = 148191638400. Its totient is φ = 60922874880.

The previous prime is 101201111119. The next prime is 101201111147. The reversal of 101201111121 is 121111102101.

It is not a de Polignac number, because 101201111121 - 2¹ = 101201111119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101201111097 and 101201111106.

It is not an unprimeable number, because it can be changed into a prime (101201111621) 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, 2974635 + ... + 3008463.

It is an arithmetic number, because the mean of its divisors is an integer number (4630988700).

Almost surely, 2^101201111121 is an apocalyptic number.

101201111121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201111121 is a deficient number, since it is larger than the sum of its proper divisors (46990527279).

101201111121 is a wasteful number, since it uses less digits than its factorization.

101201111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34449.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101201111121 its reverse (121111102101), we get a palindrome (222312213222).

The spelling of 101201111121 in words is "one hundred one billion, two hundred one million, one hundred eleven thousand, one hundred twenty-one".