101002101213 has 16 divisors (see below), whose sum is σ = 145035154880. Its totient is φ = 62152354944.

The previous prime is 101002101133. The next prime is 101002101223. The reversal of 101002101213 is 312101200101.

It is not a de Polignac number, because 101002101213 - 2⁹ = 101002100701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002101223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1133670 + ... + 1219512.

It is an arithmetic number, because the mean of its divisors is an integer number (9064697180).

Almost surely, 2^101002101213 is an apocalyptic number.

101002101213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101002101213 is a deficient number, since it is larger than the sum of its proper divisors (44033053667).

101002101213 is a wasteful number, since it uses less digits than its factorization.

101002101213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116028.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101002101213 its reverse (312101200101), we get a palindrome (413103301314).

The spelling of 101002101213 in words is "one hundred one billion, two million, one hundred one thousand, two hundred thirteen".