10122012002000 has 160 divisors (see below), whose sum is σ = 24846678889344. Its totient is φ = 3987354624000.

The previous prime is 10122012001999. The next prime is 10122012002023. The reversal of 10122012002000 is 20021022101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729087059 + ... + 729100941.

Almost surely, 2^{10122012002000} is an apocalyptic number.

10122012002000 is a gapful number since it is divisible by the number (10) 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 10122012002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12423339444672).

10122012002000 is an abundant number, since it is smaller than the sum of its proper divisors (14724666887344).

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

10122012002000 is a wasteful number, since it uses less digits than its factorization.

10122012002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19414 (or 19398 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10122012002000 its reverse (20021022101), we get a palindrome (10142033024101).

The spelling of 10122012002000 in words is "ten trillion, one hundred twenty-two billion, twelve million, two thousand".