200102201021112 has 512 divisors, whose sum is σ = 555854745600000. Its totient is φ = 59659297431552.

The previous prime is 200102201021101. The next prime is 200102201021119. The reversal of 200102201021112 is 211120102201002.

It is a super-3 number, since 3×200102201021112³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200102201021091 and 200102201021100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200102201021119) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89451139258 + ... + 89451141494.

It is an arithmetic number, because the mean of its divisors is an integer number (1085653800000).

Almost surely, 2^{200102201021112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200102201021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277927372800000).

200102201021112 is an abundant number, since it is smaller than the sum of its proper divisors (355752544578888).

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

200102201021112 is a wasteful number, since it uses less digits than its factorization.

200102201021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 200102201021112 its reverse (211120102201002), we get a palindrome (411222303222114).

The spelling of 200102201021112 in words is "two hundred trillion, one hundred two billion, two hundred one million, twenty-one thousand, one hundred twelve".