101022001010 has 48 divisors (see below), whose sum is σ = 211641617880. Its totient is φ = 34617461760.

The previous prime is 101022001009. The next prime is 101022001039. The reversal of 101022001010 is 10100220101.

101022001010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 98094866401 + 2927134609 = 313201^2 + 54103^2 .

It is a super-3 number, since 3×101022001010³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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, 871040 + ... + 980180.

Almost surely, 2^101022001010 is an apocalyptic number.

101022001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101022001010 is an abundant number, since it is smaller than the sum of its proper divisors (110619616870).

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

101022001010 is a wasteful number, since it uses less digits than its factorization.

101022001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111051 (or 111044 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101022001010 its reverse (10100220101), we get a palindrome (111122221111).

The spelling of 101022001010 in words is "one hundred one billion, twenty-two million, one thousand, ten".