1000202122000 has 40 divisors (see below), whose sum is σ = 2418488735832. Its totient is φ = 400080848000.

The previous prime is 1000202121979. The next prime is 1000202122037. The reversal of 1000202122000 is 2212020001.

It can be written as a sum of positive squares in 4 ways, for example, as 18113536 + 1000184008464 = 4256^2 + 1000092^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250048531 + ... + 250052530.

Almost surely, 2^{1000202122000} is an apocalyptic number.

1000202122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000202122000 is an abundant number, since it is smaller than the sum of its proper divisors (1418286613832).

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

1000202122000 is an equidigital number, since it uses as much as digits as its factorization.

1000202122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500101084 (or 500101068 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1000202122000 its reverse (2212020001), we get a palindrome (1002414142001).

The spelling of 1000202122000 in words is "one trillion, two hundred two million, one hundred twenty-two thousand".