101142220413 has 24 divisors (see below), whose sum is σ = 146272046400. Its totient is φ = 62137271040.

The previous prime is 101142220367. The next prime is 101142220469. The reversal of 101142220413 is 314022241101.

It is not a de Polignac number, because 101142220413 - 2²⁵ = 101108665981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101142220413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101142220483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137173 + ... + 470213.

It is an arithmetic number, because the mean of its divisors is an integer number (6094668600).

Almost surely, 2^101142220413 is an apocalyptic number.

101142220413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101142220413 is a deficient number, since it is larger than the sum of its proper divisors (45129825987).

101142220413 is a wasteful number, since it uses less digits than its factorization.

101142220413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333669 (or 333656 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 101142220413 its reverse (314022241101), we get a palindrome (415164461514).

The spelling of 101142220413 in words is "one hundred one billion, one hundred forty-two million, two hundred twenty thousand, four hundred thirteen".