1021101021000 has 768 divisors, whose sum is σ = 3764234073600. Its totient is φ = 248811264000.

The previous prime is 1021101020983. The next prime is 1021101021001. The reversal of 1021101021000 is 1201011201.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1021101021001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 552842077 + ... + 552843923.

It is an arithmetic number, because the mean of its divisors is an integer number (4901346450).

Almost surely, 2^{1021101021000} is an apocalyptic number.

1021101021000 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 1021101021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1882117036800).

1021101021000 is an abundant number, since it is smaller than the sum of its proper divisors (2743133052600).

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

1021101021000 is a wasteful number, since it uses less digits than its factorization.

1021101021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1021101021000 its reverse (1201011201), we get a palindrome (1022302032201).

The spelling of 1021101021000 in words is "one trillion, twenty-one billion, one hundred one million, twenty-one thousand".