1022111201000 has 128 divisors (see below), whose sum is σ = 2441222128800. Its totient is φ = 400413644800.

The previous prime is 1022111200987. The next prime is 1022111201029. The reversal of 1022111201000 is 1021112201.

It can be written as a sum of positive squares in 16 ways, for example, as 22099200964 + 1000012000036 = 148658^2 + 1000006^2 .

It is a super-3 number, since 3×1022111201000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30140054 + ... + 30173946.

Almost surely, 2^{1022111201000} is an apocalyptic number.

1022111201000 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 1022111201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220611064400).

1022111201000 is an abundant number, since it is smaller than the sum of its proper divisors (1419110927800).

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

1022111201000 is a wasteful number, since it uses less digits than its factorization.

1022111201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34536 (or 34522 counting only the distinct ones).

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

Adding to 1022111201000 its reverse (1021112201), we get a palindrome (1023132313201).

The spelling of 1022111201000 in words is "one trillion, twenty-two billion, one hundred eleven million, two hundred one thousand".