101003030020200 has 768 divisors, whose sum is σ = 394444162529280. Its totient is φ = 20768832000000.

The previous prime is 101003030020187. The next prime is 101003030020229. The reversal of 101003030020200 is 2020030300101.

It is a happy number.

It is a super-2 number, since 2×101003030020200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11110217655 + ... + 11110226745.

It is an arithmetic number, because the mean of its divisors is an integer number (513599169960).

Almost surely, 2^{101003030020200} is an apocalyptic number.

101003030020200 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 101003030020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197222081264640).

101003030020200 is an abundant number, since it is smaller than the sum of its proper divisors (293441132509080).

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

101003030020200 is a wasteful number, since it uses less digits than its factorization.

101003030020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11610 (or 11601 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 101003030020200 its reverse (2020030300101), we get a palindrome (103023060320301).

The spelling of 101003030020200 in words is "one hundred one trillion, three billion, thirty million, twenty thousand, two hundred".