101111220001110 has 128 divisors (see below), whose sum is σ = 265860597454848. Its totient is φ = 24406926336000.

The previous prime is 101111220001093. The next prime is 101111220001111. The reversal of 101111220001110 is 11100022111101.

It is a super-2 number, since 2×101111220001110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111220001111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 642603267 + ... + 642760593.

It is an arithmetic number, because the mean of its divisors is an integer number (2077035917616).

Almost surely, 2^{101111220001110} is an apocalyptic number.

101111220001110 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 101111220001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132930298727424).

101111220001110 is an abundant number, since it is smaller than the sum of its proper divisors (164749377453738).

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

101111220001110 is a wasteful number, since it uses less digits than its factorization.

101111220001110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165670.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101111220001110 its reverse (11100022111101), we get a palindrome (112211242112211).

The spelling of 101111220001110 in words is "one hundred one trillion, one hundred eleven billion, two hundred twenty million, one thousand, one hundred ten".