101030100020 has 96 divisors (see below), whose sum is σ = 227731785120. Its totient is φ = 37514854400.

The previous prime is 101030100013. The next prime is 101030100023. The reversal of 101030100020 is 20001030101.

It can be written as a sum of positive squares in 16 ways, for example, as 206116 + 101029893904 = 454^2 + 317852^2 .

It is a super-2 number, since 2×101030100020² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101030099980 and 101030100007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101030100023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9231992 + ... + 9242928.

It is an arithmetic number, because the mean of its divisors is an integer number (2372206095).

Almost surely, 2^101030100020 is an apocalyptic number.

101030100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101030100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113865892560).

101030100020 is an abundant number, since it is smaller than the sum of its proper divisors (126701685100).

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

101030100020 is a wasteful number, since it uses less digits than its factorization.

101030100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11333 (or 11331 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 101030100020 its reverse (20001030101), we get a palindrome (121031130121).

The spelling of 101030100020 in words is "one hundred one billion, thirty million, one hundred thousand, twenty".