101142133114 has 64 divisors (see below), whose sum is σ = 177653606400. Its totient is φ = 42674860800.

The previous prime is 101142133109. The next prime is 101142133117. The reversal of 101142133114 is 411331241101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (101142133117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46415677 + ... + 46417855.

It is an arithmetic number, because the mean of its divisors is an integer number (2775837600).

Almost surely, 2^101142133114 is an apocalyptic number.

101142133114 is a deficient number, since it is larger than the sum of its proper divisors (76511473286).

101142133114 is a wasteful number, since it uses less digits than its factorization.

101142133114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 101142133114 its reverse (411331241101), we get a palindrome (512473374215).

It can be divided in two parts, 101142 and 133114, that added together give a 4-th power (234256 = 22⁴).

The spelling of 101142133114 in words is "one hundred one billion, one hundred forty-two million, one hundred thirty-three thousand, one hundred fourteen".