1021100022000 has 120 divisors (see below), whose sum is σ = 3566362073040. Its totient is φ = 272293334400.

The previous prime is 1021100021989. The next prime is 1021100022011. The reversal of 1021100022000 is 2200011201.

It is an interprime number because it is at equal distance from previous prime (1021100021989) and next prime (1021100022011).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28345890 + ... + 28381889.

It is an arithmetic number, because the mean of its divisors is an integer number (29719683942).

Almost surely, 2^{1021100022000} is an apocalyptic number.

1021100022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021100022000 is an abundant number, since it is smaller than the sum of its proper divisors (2545262051040).

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

1021100022000 is a wasteful number, since it uses less digits than its factorization.

1021100022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56727808 (or 56727789 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1021100022000 its reverse (2200011201), we get a palindrome (1023300033201).

The spelling of 1021100022000 in words is "one trillion, twenty-one billion, one hundred million, twenty-two thousand".