10200011210010 has 96 divisors (see below), whose sum is σ = 26675825988240. Its totient is φ = 2704026783744.

The previous prime is 10200011209967. The next prime is 10200011210023. The reversal of 10200011210010 is 1001211000201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4977767050281 + 5222244159729 = 2231091^2 + 2285223^2 .

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 = 10200011209974 and 10200011210001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213736672 + ... + 213784388.

Almost surely, 2^{10200011210010} is an apocalyptic number.

10200011210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200011210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337912994120).

10200011210010 is an abundant number, since it is smaller than the sum of its proper divisors (16475814778230).

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

10200011210010 is a wasteful number, since it uses less digits than its factorization.

10200011210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61632 (or 61629 counting only the distinct ones).

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

Adding to 10200011210010 its reverse (1001211000201), we get a palindrome (11201222210211).

The spelling of 10200011210010 in words is "ten trillion, two hundred billion, eleven million, two hundred ten thousand, ten".