101021010200 has 96 divisors (see below), whose sum is σ = 256304934720. Its totient is φ = 36723600000.

The previous prime is 101021010191. The next prime is 101021010203. The reversal of 101021010200 is 2010120101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021010203) 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, 11107655 + ... + 11116745.

It is an arithmetic number, because the mean of its divisors is an integer number (2669843070).

Almost surely, 2^101021010200 is an apocalyptic number.

101021010200 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 101021010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128152467360).

101021010200 is an abundant number, since it is smaller than the sum of its proper divisors (155283924520).

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

101021010200 is a wasteful number, since it uses less digits than its factorization.

101021010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14169 (or 14160 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101021010200 its reverse (2010120101), we get a palindrome (103031130301).

It can be divided in two parts, 10102 and 1010200, that multiplied together give a square (10205040400 = 101020²).

The spelling of 101021010200 in words is "one hundred one billion, twenty-one million, ten thousand, two hundred".