101210112201011 has 8 divisors (see below), whose sum is σ = 110411182963200. Its totient is φ = 92009066684040.

The previous prime is 101210112200987. The next prime is 101210112201019. The reversal of 101210112201011 is 110102211012101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101210112201011 - 2⁶ = 101210112200947 is a prime.

It is a super-3 number, since 3×101210112201011³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101210112201019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2620970 + ... + 14466848.

It is an arithmetic number, because the mean of its divisors is an integer number (13801397870400).

Almost surely, 2^{101210112201011} is an apocalyptic number.

101210112201011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101210112201011 is a deficient number, since it is larger than the sum of its proper divisors (9201070762189).

101210112201011 is a wasteful number, since it uses less digits than its factorization.

101210112201011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12622609.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101210112201011 its reverse (110102211012101), we get a palindrome (211312323213112).

The spelling of 101210112201011 in words is "one hundred one trillion, two hundred ten billion, one hundred twelve million, two hundred one thousand, eleven".