101111201001 has 24 divisors (see below), whose sum is σ = 148272980544. Its totient is φ = 66381844320.

The previous prime is 101111200991. The next prime is 101111201029. The reversal of 101111201001 is 100102111101.

It is not a de Polignac number, because 101111201001 - 2⁶ = 101111200937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101111202001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2190775 + ... + 2236451.

It is an arithmetic number, because the mean of its divisors is an integer number (6178040856).

Almost surely, 2^101111201001 is an apocalyptic number.

It is an amenable number.

101111201001 is a deficient number, since it is larger than the sum of its proper divisors (47161779543).

101111201001 is a wasteful number, since it uses less digits than its factorization.

101111201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49421 (or 49418 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101111201001 its reverse (100102111101), we get a palindrome (201213312102).

The spelling of 101111201001 in words is "one hundred one billion, one hundred eleven million, two hundred one thousand, one".