101021100 has 144 divisors (see below), whose sum is σ = 316646400. Its totient is φ = 24779520.

The previous prime is 101021099. The next prime is 101021117. The reversal of 101021100 is 1120101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210661 + ... + 211139.

Almost surely, 2^101021100 is an apocalyptic number.

101021100 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 101021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158323200).

101021100 is an abundant number, since it is smaller than the sum of its proper divisors (215625300).

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

101021100 is a wasteful number, since it uses less digits than its factorization.

101021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 101021100 is about 10050.9253305355. The cubic root of 101021100 is about 465.7333785225.

Adding to 101021100 its reverse (1120101), we get a palindrome (102141201).

Subtracting from 101021100 its reverse (1120101), we obtain a palindrome (99900999).

The spelling of 101021100 in words is "one hundred one million, twenty-one thousand, one hundred".