1021022001000 has 96 divisors (see below), whose sum is σ = 3451054393800. Its totient is φ = 272272531200.

The previous prime is 1021022000959. The next prime is 1021022001031. The reversal of 1021022001000 is 1002201201.

It can be written as a sum of positive squares in 4 ways, for example, as 338703048324 + 682318952676 = 581982^2 + 826026^2 .

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

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, 56714445 + ... + 56732444.

Almost surely, 2^{1021022001000} is an apocalyptic number.

1021022001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021022001000 is an abundant number, since it is smaller than the sum of its proper divisors (2430032392800).

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

1021022001000 is a wasteful number, since it uses less digits than its factorization.

1021022001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113446916 (or 113446899 counting only the distinct ones).

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

Adding to 1021022001000 its reverse (1002201201), we get a palindrome (1022024202201).

The spelling of 1021022001000 in words is "one trillion, twenty-one billion, twenty-two million, one thousand".