101010221000 has 64 divisors (see below), whose sum is σ = 254545789680. Its totient is φ = 37296076800.

The previous prime is 101010220991. The next prime is 101010221009. The reversal of 101010221000 is 122010101.

It is an interprime number because it is at equal distance from previous prime (101010220991) and next prime (101010221009).

It can be written as a sum of positive squares in 8 ways, for example, as 6056263684 + 94953957316 = 77822^2 + 308146^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (101010221009) 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 15 ways as a sum of consecutive naturals, for example, 3872009 + ... + 3898008.

Almost surely, 2^101010221000 is an apocalyptic number.

101010221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101010221000 is an abundant number, since it is smaller than the sum of its proper divisors (153535568680).

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

101010221000 is a wasteful number, since it uses less digits than its factorization.

101010221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770051 (or 7770037 counting only the distinct ones).

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

Adding to 101010221000 its reverse (122010101), we get a palindrome (101132231101).

The spelling of 101010221000 in words is "one hundred one billion, ten million, two hundred twenty-one thousand".