10201112002000 has 80 divisors (see below), whose sum is σ = 24668495347392. Its totient is φ = 4080079785600.

The previous prime is 10201112001989. The next prime is 10201112002013. The reversal of 10201112002000 is 20021110201.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22711599 + ... + 23156401.

Almost surely, 2^{10201112002000} is an apocalyptic number.

10201112002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201112002000 is an abundant number, since it is smaller than the sum of its proper divisors (14467383345392).

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

10201112002000 is a wasteful number, since it uses less digits than its factorization.

10201112002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456293 (or 456277 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10201112002000 its reverse (20021110201), we get a palindrome (10221133112201).

It can be divided in two parts, 1020111 and 2002000, that added together give a triangular number (3022111 = T₂₄₅₈).

The spelling of 10201112002000 in words is "ten trillion, two hundred one billion, one hundred twelve million, two thousand".