101121012011110 has 128 divisors (see below), whose sum is σ = 224219101317120. Its totient is φ = 31974979682304.

The previous prime is 101121012011029. The next prime is 101121012011141. The reversal of 101121012011110 is 11110210121101.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5911081177 + ... + 5911098283.

It is an arithmetic number, because the mean of its divisors is an integer number (1751711729040).

Almost surely, 2^{101121012011110} is an apocalyptic number.

101121012011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101121012011110 is an abundant number, since it is smaller than the sum of its proper divisors (123098089306010).

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

101121012011110 is a wasteful number, since it uses less digits than its factorization.

101121012011110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22470.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101121012011110 its reverse (11110210121101), we get a palindrome (112231222132211).

The spelling of 101121012011110 in words is "one hundred one trillion, one hundred twenty-one billion, twelve million, eleven thousand, one hundred ten".