1000102211000 has 64 divisors (see below), whose sum is σ = 2340411896160. Its totient is φ = 400011360000.

The previous prime is 1000102210981. The next prime is 1000102211039. The reversal of 1000102211000 is 1122010001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17853035 + ... + 17908965.

Almost surely, 2^{1000102211000} is an apocalyptic number.

1000102211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000102211000 is an abundant number, since it is smaller than the sum of its proper divisors (1340309685160).

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

1000102211000 is a wasteful number, since it uses less digits than its factorization.

1000102211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73833 (or 73819 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000102211000 its reverse (1122010001), we get a palindrome (1001224221001).

The spelling of 1000102211000 in words is "one trillion, one hundred two million, two hundred eleven thousand".