10102011200010 has 96 divisors (see below), whose sum is σ = 27136629217152. Its totient is φ = 2605367237760.

The previous prime is 10102011199921. The next prime is 10102011200027. The reversal of 10102011200010 is 1000211020101.

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 = 10102011199965 and 10102011200001.

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, 8526636 + ... + 9638855.

It is an arithmetic number, because the mean of its divisors is an integer number (282673221012).

Almost surely, 2^{10102011200010} is an apocalyptic number.

10102011200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10102011200010 is an abundant number, since it is smaller than the sum of its proper divisors (17034618017142).

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

10102011200010 is a wasteful number, since it uses less digits than its factorization.

10102011200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18165708 (or 18165705 counting only the distinct ones).

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

Adding to 10102011200010 its reverse (1000211020101), we get a palindrome (11102222220111).

The spelling of 10102011200010 in words is "ten trillion, one hundred two billion, eleven million, two hundred thousand, ten".