101211101112102 has 16 divisors (see below), whose sum is σ = 202422714410352. Its totient is φ = 33736948339680.

The previous prime is 101211101112053. The next prime is 101211101112133. The reversal of 101211101112102 is 201211101112101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18747973 + ... + 23535264.

It is an arithmetic number, because the mean of its divisors is an integer number (12651419650647).

Almost surely, 2^{101211101112102} is an apocalyptic number.

101211101112102 is an abundant number, since it is smaller than the sum of its proper divisors (101211613298250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101211101112102 is a wasteful number, since it uses less digits than its factorization.

101211101112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42682183.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101211101112102 its reverse (201211101112101), we get a palindrome (302422202224203).

Subtracting 101211101112102 from its reverse (201211101112101), we obtain a palindrome (99999999999999).

The spelling of 101211101112102 in words is "one hundred one trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, one hundred two".