102022000213 has 6 divisors (see below), whose sum is σ = 118678653366. Its totient is φ = 87447428712.

The previous prime is 102022000189. The next prime is 102022000217. The reversal of 102022000213 is 312000220201.

It can be written as a sum of positive squares in only one way, i.e., 53753031409 + 48268968804 = 231847^2 + 219702^2 .

It is not a de Polignac number, because 102022000213 - 2⁵ = 102022000181 is a prime.

It is a super-2 number, since 2×102022000213² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102022000193 and 102022000202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022000217) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1041040770 + ... + 1041040867.

It is an arithmetic number, because the mean of its divisors is an integer number (19779775561).

Almost surely, 2^102022000213 is an apocalyptic number.

It is an amenable number.

102022000213 is a deficient number, since it is larger than the sum of its proper divisors (16656653153).

102022000213 is an equidigital number, since it uses as much as digits as its factorization.

102022000213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082081651 (or 2082081644 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102022000213 its reverse (312000220201), we get a palindrome (414022220414).

The spelling of 102022000213 in words is "one hundred two billion, twenty-two million, two hundred thirteen", and thus it is an aban number.