101010221222313 has 16 divisors (see below), whose sum is σ = 145040697156096. Its totient is φ = 62159973492480.

The previous prime is 101010221222311. The next prime is 101010221222419. The reversal of 101010221222313 is 313222122010101.

It is not a de Polignac number, because 101010221222313 - 2¹ = 101010221222311 is a prime.

It is a super-2 number, since 2×101010221222313² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101010221222313.

It is not an unprimeable number, because it can be changed into a prime (101010221222311) 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, 12671368 + ... + 19041638.

It is an arithmetic number, because the mean of its divisors is an integer number (9065043572256).

Almost surely, 2^{101010221222313} is an apocalyptic number.

101010221222313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101010221222313 is a deficient number, since it is larger than the sum of its proper divisors (44030475933783).

101010221222313 is a wasteful number, since it uses less digits than its factorization.

101010221222313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6776864.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101010221222313 its reverse (313222122010101), we get a palindrome (414232343232414).

The spelling of 101010221222313 in words is "one hundred one trillion, ten billion, two hundred twenty-one million, two hundred twenty-two thousand, three hundred thirteen".