1022211101000 has 64 divisors (see below), whose sum is σ = 2395508759280. Its totient is φ = 408280204800.

The previous prime is 1022211100991. The next prime is 1022211101017. The reversal of 1022211101000 is 1011122201.

It can be written as a sum of positive squares in 8 ways, for example, as 122190795364 + 900020305636 = 349558^2 + 948694^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77957 + ... + 1431956.

Almost surely, 2^{1022211101000} is an apocalyptic number.

1022211101000 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 1022211101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197754379640).

1022211101000 is an abundant number, since it is smaller than the sum of its proper divisors (1373297658280).

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

1022211101000 is a wasteful number, since it uses less digits than its factorization.

1022211101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510611 (or 1510597 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1022211101000 its reverse (1011122201), we get a palindrome (1023222223201).

It can be divided in two parts, 1022211 and 101000, that added together give a palindrome (1123211).

The spelling of 1022211101000 in words is "one trillion, twenty-two billion, two hundred eleven million, one hundred one thousand".