10002101112010 has 192 divisors, whose sum is σ = 21209165349120. Its totient is φ = 3386102952960.

The previous prime is 10002101112001. The next prime is 10002101112037. The reversal of 10002101112010 is 1021110120001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12065260276 + ... + 12065261104.

It is an arithmetic number, because the mean of its divisors is an integer number (110464402860).

Almost surely, 2^{10002101112010} is an apocalyptic number.

10002101112010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002101112010 is an abundant number, since it is smaller than the sum of its proper divisors (11207064237110).

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

10002101112010 is a wasteful number, since it uses less digits than its factorization.

10002101112010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10002101112010 its reverse (1021110120001), we get a palindrome (11023211232011).

The spelling of 10002101112010 in words is "ten trillion, two billion, one hundred one million, one hundred twelve thousand, ten".