101051106114 has 16 divisors (see below), whose sum is σ = 230973956928. Its totient is φ = 28871744592.

The previous prime is 101051106113. The next prime is 101051106133. The reversal of 101051106114 is 411601150101.

It is a super-2 number, since 2×101051106114² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (101051106113) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1202989317 + ... + 1202989400.

It is an arithmetic number, because the mean of its divisors is an integer number (14435872308).

Almost surely, 2^101051106114 is an apocalyptic number.

101051106114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101051106114 is an abundant number, since it is smaller than the sum of its proper divisors (129922850814).

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

101051106114 is a wasteful number, since it uses less digits than its factorization.

101051106114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405978729.

The product of its (nonzero) digits is 120, while the sum is 21.

Adding to 101051106114 its reverse (411601150101), we get a palindrome (512652256215).

The spelling of 101051106114 in words is "one hundred one billion, fifty-one million, one hundred six thousand, one hundred fourteen".