101211101211011 has 32 divisors (see below), whose sum is σ = 119764140088320. Its totient is φ = 84481494451200.

The previous prime is 101211101210993. The next prime is 101211101211019. The reversal of 101211101211011 is 110112101112101.

It is not a de Polignac number, because 101211101211011 - 2⁴⁶ = 30842357033347 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101211101211019) 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, 163143170 + ... + 163762376.

It is an arithmetic number, because the mean of its divisors is an integer number (3742629377760).

Almost surely, 2^{101211101211011} is an apocalyptic number.

101211101211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101211101211011 is a deficient number, since it is larger than the sum of its proper divisors (18553038877309).

101211101211011 is a wasteful number, since it uses less digits than its factorization.

101211101211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640595.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101211101211011 its reverse (110112101112101), we get a palindrome (211323202323112).

The spelling of 101211101211011 in words is "one hundred one trillion, two hundred eleven billion, one hundred one million, two hundred eleven thousand, eleven".