101021310100 has 36 divisors (see below), whose sum is σ = 221679366300. Its totient is φ = 39954492160.

The previous prime is 101021310067. The next prime is 101021310133. The reversal of 101021310100 is 1013120101.

It is an interprime number because it is at equal distance from previous prime (101021310067) and next prime (101021310133).

It can be written as a sum of positive squares in 6 ways, for example, as 333135504 + 100688174596 = 18252^2 + 317314^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 5666455 + ... + 5684254.

It is an arithmetic number, because the mean of its divisors is an integer number (6157760175).

Almost surely, 2^101021310100 is an apocalyptic number.

101021310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021310100 is an abundant number, since it is smaller than the sum of its proper divisors (120658056200).

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

101021310100 is a wasteful number, since it uses less digits than its factorization.

101021310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11350812 (or 11350805 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101021310100 its reverse (1013120101), we get a palindrome (102034430201).

The spelling of 101021310100 in words is "one hundred one billion, twenty-one million, three hundred ten thousand, one hundred".