101021200 has 120 divisors (see below), whose sum is σ = 280765760. Its totient is φ = 34214400.

The previous prime is 101021177. The next prime is 101021227. The reversal of 101021200 is 2120101.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

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, 305035 + ... + 305365.

Almost surely, 2^101021200 is an apocalyptic number.

101021200 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 101021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140382880).

101021200 is an abundant number, since it is smaller than the sum of its proper divisors (179744560).

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

101021200 is a wasteful number, since it uses less digits than its factorization.

101021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 101021200 is about 10050.9303052006. The cubic root of 101021200 is about 465.7335321978.

Adding to 101021200 its reverse (2120101), we get a palindrome (103141301).

The spelling of 101021200 in words is "one hundred one million, twenty-one thousand, two hundred".