101013021200 has 240 divisors, whose sum is σ = 314410293120. Its totient is φ = 30286172160.

The previous prime is 101013021173. The next prime is 101013021203. The reversal of 101013021200 is 2120310101.

101013021200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (101013021203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618572 + ... + 764628.

It is an arithmetic number, because the mean of its divisors is an integer number (1310042888).

Almost surely, 2^101013021200 is an apocalyptic number.

101013021200 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 101013021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157205146560).

101013021200 is an abundant number, since it is smaller than the sum of its proper divisors (213397271920).

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

101013021200 is a wasteful number, since it uses less digits than its factorization.

101013021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146114 (or 146103 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 101013021200 its reverse (2120310101), we get a palindrome (103133331301).

The spelling of 101013021200 in words is "one hundred one billion, thirteen million, twenty-one thousand, two hundred".