101011221112110 has 128 divisors (see below), whose sum is σ = 257576548147200. Its totient is φ = 25303397414400.

The previous prime is 101011221112099. The next prime is 101011221112121. The reversal of 101011221112110 is 11211122110101.

It is an interprime number because it is at equal distance from previous prime (101011221112099) and next prime (101011221112121).

It is a super-3 number, since 3×101011221112110³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101011221112110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 835302231 + ... + 835423149.

It is an arithmetic number, because the mean of its divisors is an integer number (2012316782400).

Almost surely, 2^{101011221112110} is an apocalyptic number.

101011221112110 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 101011221112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128788274073600).

101011221112110 is an abundant number, since it is smaller than the sum of its proper divisors (156565327035090).

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

101011221112110 is a wasteful number, since it uses less digits than its factorization.

101011221112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146946.

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

Adding to 101011221112110 its reverse (11211122110101), we get a palindrome (112222343222211).

The spelling of 101011221112110 in words is "one hundred one trillion, eleven billion, two hundred twenty-one million, one hundred twelve thousand, one hundred ten".