101322200010311 has 16 divisors (see below), whose sum is σ = 118061572432704. Its totient is φ = 85162774374144.

The previous prime is 101322200010299. The next prime is 101322200010323. The reversal of 101322200010311 is 113010002223101.

It is an interprime number because it is at equal distance from previous prime (101322200010299) and next prime (101322200010323).

It is a cyclic number.

It is not a de Polignac number, because 101322200010311 - 2⁶ = 101322200010247 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101322200010311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322200010391) 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, 572981516 + ... + 573158321.

It is an arithmetic number, because the mean of its divisors is an integer number (7378848277044).

Almost surely, 2^{101322200010311} is an apocalyptic number.

101322200010311 is a deficient number, since it is larger than the sum of its proper divisors (16739372422393).

101322200010311 is a wasteful number, since it uses less digits than its factorization.

101322200010311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146140090.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101322200010311 its reverse (113010002223101), we get a palindrome (214332202233412).

The spelling of 101322200010311 in words is "one hundred one trillion, three hundred twenty-two billion, two hundred million, ten thousand, three hundred eleven".