101002242214031 has 24 divisors (see below), whose sum is σ = 107287909664544. Its totient is φ = 95067538974720.

The previous prime is 101002242214021. The next prime is 101002242214051. The reversal of 101002242214031 is 130412242200101.

It is not a de Polignac number, because 101002242214031 - 2⁴⁶ = 30633498036367 is a prime.

It is a super-2 number, since 2×101002242214031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101002242213988 and 101002242214006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002242214021) 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, 125054711 + ... + 125859783.

It is an arithmetic number, because the mean of its divisors is an integer number (4470329569356).

Almost surely, 2^{101002242214031} is an apocalyptic number.

101002242214031 is a deficient number, since it is larger than the sum of its proper divisors (6285667450513).

101002242214031 is a wasteful number, since it uses less digits than its factorization.

101002242214031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807359 (or 807340 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 101002242214031 its reverse (130412242200101), we get a palindrome (231414484414132).

The spelling of 101002242214031 in words is "one hundred one trillion, two billion, two hundred forty-two million, two hundred fourteen thousand, thirty-one".