101022012010 has 8 divisors (see below), whose sum is σ = 181839621636. Its totient is φ = 40408804800.

The previous prime is 101022012001. The next prime is 101022012037. The reversal of 101022012010 is 10210220101.

It can be written as a sum of positive squares in 2 ways, for example, as 100364140809 + 657871201 = 316803^2 + 25649^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 10102201201 = 101022012010 / (1 + 0 + 1 + 0 + 2 + 2 + 0 + 1 + 2 + 0 + 1 + 0).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5051100591 + ... + 5051100610.

Almost surely, 2^101022012010 is an apocalyptic number.

101022012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101022012010 is a deficient number, since it is larger than the sum of its proper divisors (80817609626).

101022012010 is a wasteful number, since it uses less digits than its factorization.

101022012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102201208.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101022012010 its reverse (10210220101), we get a palindrome (111232232111).

The spelling of 101022012010 in words is "one hundred one billion, twenty-two million, twelve thousand, ten".