101121222001110 has 64 divisors (see below), whose sum is σ = 249339523838400. Its totient is φ = 26227449533952.

The previous prime is 101121222001109. The next prime is 101121222001123. The reversal of 101121222001110 is 11100222121101.

It is a happy number.

It is a super-2 number, since 2×101121222001110² (a number of 29 digits) contains 22 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 101121222001110.

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 31 ways as a sum of consecutive naturals, for example, 13236265 + ... + 19427844.

It is an arithmetic number, because the mean of its divisors is an integer number (3895930059975).

Almost surely, 2^{101121222001110} is an apocalyptic number.

101121222001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101121222001110 is an abundant number, since it is smaller than the sum of its proper divisors (148218301837290).

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

101121222001110 is a wasteful number, since it uses less digits than its factorization.

101121222001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32666945.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121222001110 its reverse (11100222121101), we get a palindrome (112221444122211).

The spelling of 101121222001110 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-two million, one thousand, one hundred ten".