10212001022000 has 80 divisors (see below), whose sum is σ = 25992230066400. Its totient is φ = 3869810899200.

The previous prime is 10212001021987. The next prime is 10212001022087. The reversal of 10212001022000 is 22010021201.

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, 134330435 + ... + 134406434.

It is an arithmetic number, because the mean of its divisors is an integer number (324902875830).

Almost surely, 2^{10212001022000} is an apocalyptic number.

10212001022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212001022000 is an abundant number, since it is smaller than the sum of its proper divisors (15780229044400).

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

10212001022000 is a wasteful number, since it uses less digits than its factorization.

10212001022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268736911 (or 268736895 counting only the distinct ones).

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

Adding to 10212001022000 its reverse (22010021201), we get a palindrome (10234011043201).

The spelling of 10212001022000 in words is "ten trillion, two hundred twelve billion, one million, twenty-two thousand".