10200111012 has 576 divisors, whose sum is σ = 35445329920. Its totient is φ = 2398491648.

The previous prime is 10200111007. The next prime is 10200111013. The reversal of 10200111012 is 21011100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10200110985 and 10200111003.

It is not an unprimeable number, because it can be changed into a prime (10200111013) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99030153 + ... + 99030255.

Almost surely, 2^10200111012 is an apocalyptic number.

10200111012 is a gapful number since it is divisible by the number (12) 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 10200111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17722664960).

10200111012 is an abundant number, since it is smaller than the sum of its proper divisors (25245218908).

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

10200111012 is a wasteful number, since it uses less digits than its factorization.

10200111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10200111012 its reverse (21011100201), we get a palindrome (31211211213).

The spelling of 10200111012 in words is "ten billion, two hundred million, one hundred eleven thousand, twelve".