1022101002000 has 960 divisors, whose sum is σ = 4030392038400. Its totient is φ = 239984870400.

The previous prime is 1022101001983. The next prime is 1022101002007. The reversal of 1022101002000 is 2001012201.

It is a super-3 number, since 3×1022101002000³ (a number of 37 digits) contains 333 as substring.

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 (1022101002007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2847077821 + ... + 2847078179.

It is an arithmetic number, because the mean of its divisors is an integer number (4198325040).

Almost surely, 2^{1022101002000} is an apocalyptic number.

1022101002000 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 1022101002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015196019200).

1022101002000 is an abundant number, since it is smaller than the sum of its proper divisors (3008291036400).

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

1022101002000 is a wasteful number, since it uses less digits than its factorization.

1022101002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 405 counting only the distinct ones).

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

Adding to 1022101002000 its reverse (2001012201), we get a palindrome (1024102014201).

It can be divided in two parts, 102210100 and 2000, that added together give a square (102212100 = 10110²).

The spelling of 1022101002000 in words is "one trillion, twenty-two billion, one hundred one million, two thousand".