101033313100 has 72 divisors (see below), whose sum is σ = 220698475088. Its totient is φ = 40145414400.

The previous prime is 101033313079. The next prime is 101033313137. The reversal of 101033313100 is 1313330101.

It is a super-2 number, since 2×101033313100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19780747 + ... + 19785853.

Almost surely, 2^101033313100 is an apocalyptic number.

101033313100 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 101033313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110349237544).

101033313100 is an abundant number, since it is smaller than the sum of its proper divisors (119665161988).

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

101033313100 is a wasteful number, since it uses less digits than its factorization.

101033313100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6395 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 101033313100 its reverse (1313330101), we get a palindrome (102346643201).

The spelling of 101033313100 in words is "one hundred one billion, thirty-three million, three hundred thirteen thousand, one hundred".