101001344020 has 24 divisors (see below), whose sum is σ = 212113524168. Its totient is φ = 40398499200.

The previous prime is 101001343991. The next prime is 101001344039. The reversal of 101001344020 is 20443100101.

It can be written as a sum of positive squares in 4 ways, for example, as 5071148944 + 95930195076 = 71212^2 + 309726^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101001343985 and 101001344003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 316650 + ... + 549790.

It is an arithmetic number, because the mean of its divisors is an integer number (8838063507).

Almost surely, 2^101001344020 is an apocalyptic number.

101001344020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001344020 is an abundant number, since it is smaller than the sum of its proper divisors (111112180148).

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

101001344020 is a wasteful number, since it uses less digits than its factorization.

101001344020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254811 (or 254809 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101001344020 its reverse (20443100101), we get a palindrome (121444444121).

The spelling of 101001344020 in words is "one hundred one billion, one million, three hundred forty-four thousand, twenty".