101301211211211 has 96 divisors (see below), whose sum is σ = 162438823153152. Its totient is φ = 60321226567680.

The previous prime is 101301211211197. The next prime is 101301211211309. The reversal of 101301211211211 is 112112112103101.

101301211211211 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 1 + 211 + 211 + 211 = 666.

It is not a de Polignac number, because 101301211211211 - 2⁶ = 101301211211147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101301211211111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6021581746 + ... + 6021598568.

It is an arithmetic number, because the mean of its divisors is an integer number (1692071074512).

Almost surely, 2^{101301211211211} is an apocalyptic number.

101301211211211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101301211211211 is a deficient number, since it is larger than the sum of its proper divisors (61137611941941).

101301211211211 is a wasteful number, since it uses less digits than its factorization.

101301211211211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20913 (or 20910 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 101301211211211 its reverse (112112112103101), we get a palindrome (213413323314312).

The spelling of 101301211211211 in words is "one hundred one trillion, three hundred one billion, two hundred eleven million, two hundred eleven thousand, two hundred eleven".