20101202122000 has 80 divisors (see below), whose sum is σ = 48632536996992. Its totient is φ = 8035877001600.

The previous prime is 20101202121991. The next prime is 20101202122031. The reversal of 20101202122000 is 22120210102.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617469 + ... + 6370531.

Almost surely, 2^{20101202122000} is an apocalyptic number.

20101202122000 is a gapful number since it is divisible by the number (20) 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 20101202122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24316268498496).

20101202122000 is an abundant number, since it is smaller than the sum of its proper divisors (28531334874992).

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

20101202122000 is a wasteful number, since it uses less digits than its factorization.

20101202122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754833 (or 5754817 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20101202122000 its reverse (22120210102), we get a palindrome (20123322332102).

The spelling of 20101202122000 in words is "twenty trillion, one hundred one billion, two hundred two million, one hundred twenty-two thousand".