101822100 has 72 divisors (see below), whose sum is σ = 296314368. Its totient is φ = 26995200.

The previous prime is 101822057. The next prime is 101822101. The reversal of 101822100 is 1228101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101822100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101822101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56412 + ... + 58188.

Almost surely, 2^101822100 is an apocalyptic number.

101822100 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 101822100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148157184).

101822100 is an abundant number, since it is smaller than the sum of its proper divisors (194492268).

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

101822100 is a wasteful number, since it uses less digits than its factorization.

101822100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 101822100 is about 10090.6937323457. The cubic root of 101822100 is about 466.9610783941.

The spelling of 101822100 in words is "one hundred one million, eight hundred twenty-two thousand, one hundred".