200000101020000 has 960 divisors, whose sum is σ = 679513199371776. Its totient is φ = 51457996800000.

The previous prime is 200000101019993. The next prime is 200000101020037. The reversal of 200000101020000 is 20101000002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 193610939484 + ... + 193610940516.

Almost surely, 2^{200000101020000} is an apocalyptic number.

200000101020000 is a gapful number since it is divisible by the number (20) 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 200000101020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339756599685888).

200000101020000 is an abundant number, since it is smaller than the sum of its proper divisors (479513098351776).

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

200000101020000 is a wasteful number, since it uses less digits than its factorization.

200000101020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 200000101020000 its reverse (20101000002), we get a palindrome (200020202020002).

The spelling of 200000101020000 in words is "two hundred trillion, one hundred one million, twenty thousand".