102022010010 has 48 divisors (see below), whose sum is σ = 265289361480. Its totient is φ = 27202573440.

The previous prime is 102022009981. The next prime is 102022010017. The reversal of 102022010010 is 10010220201.

It can be written as a sum of positive squares in 4 ways, for example, as 95423534649 + 6598475361 = 308907^2 + 81231^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102022009974 and 102022010001.

It is not an unprimeable number, because it can be changed into a prime (102022010017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 729636 + ... + 858144.

Almost surely, 2^102022010010 is an apocalyptic number.

102022010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102022010010 is an abundant number, since it is smaller than the sum of its proper divisors (163267351470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102022010010 is a wasteful number, since it uses less digits than its factorization.

102022010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137343 (or 137340 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102022010010 its reverse (10010220201), we get a palindrome (112032230211).

The spelling of 102022010010 in words is "one hundred two billion, twenty-two million, ten thousand, ten".