10201210022000 has 160 divisors (see below), whose sum is σ = 25277772309504. Its totient is φ = 3980550816000.

The previous prime is 10201210021997. The next prime is 10201210022033. The reversal of 10201210022000 is 22001210201.

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, 13432445 + ... + 14171555.

Almost surely, 2^{10201210022000} is an apocalyptic number.

10201210022000 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 10201210022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12638886154752).

10201210022000 is an abundant number, since it is smaller than the sum of its proper divisors (15076562287504).

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

10201210022000 is a wasteful number, since it uses less digits than its factorization.

10201210022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739304 (or 739288 counting only the distinct ones).

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

Adding to 10201210022000 its reverse (22001210201), we get a palindrome (10223211232201).

The spelling of 10201210022000 in words is "ten trillion, two hundred one billion, two hundred ten million, twenty-two thousand".