10211120022000 has 160 divisors (see below), whose sum is σ = 33211986350400. Its totient is φ = 2698868121600.

The previous prime is 10211120021959. The next prime is 10211120022013. The reversal of 10211120022000 is 22002111201.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 6852325 + ... + 8208324.

It is an arithmetic number, because the mean of its divisors is an integer number (207574914690).

Almost surely, 2^{10211120022000} is an apocalyptic number.

10211120022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211120022000 is an abundant number, since it is smaller than the sum of its proper divisors (23000866328400).

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

10211120022000 is a wasteful number, since it uses less digits than its factorization.

10211120022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15060788 (or 15060772 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10211120022000 its reverse (22002111201), we get a palindrome (10233122133201).

The spelling of 10211120022000 in words is "ten trillion, two hundred eleven billion, one hundred twenty million, twenty-two thousand".