101211111110010 has 512 divisors, whose sum is σ = 279077828198400. Its totient is φ = 23276897280000.

The previous prime is 101211111109991. The next prime is 101211111110017. The reversal of 101211111110010 is 10011111112101.

It is not an unprimeable number, because it can be changed into a prime (101211111110017) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21267304011 + ... + 21267308769.

It is an arithmetic number, because the mean of its divisors is an integer number (545073883200).

Almost surely, 2^{101211111110010} is an apocalyptic number.

101211111110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211111110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139538914099200).

101211111110010 is an abundant number, since it is smaller than the sum of its proper divisors (177866717088390).

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

101211111110010 is a wasteful number, since it uses less digits than its factorization.

101211111110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101211111110010 its reverse (10011111112101), we get a palindrome (111222222222111).

It can be divided in two parts, 1012111 and 11110010, that added together give a palindrome (12122121).

The spelling of 101211111110010 in words is "one hundred one trillion, two hundred eleven billion, one hundred eleven million, one hundred ten thousand, ten".