1001102012000 has 48 divisors (see below), whose sum is σ = 2459707653312. Its totient is φ = 400440803200.

The previous prime is 1001102011969. The next prime is 1001102012017. The reversal of 1001102012000 is 2102011001.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125133752 + ... + 125141751.

It is an arithmetic number, because the mean of its divisors is an integer number (51243909444).

Almost surely, 2^{1001102012000} is an apocalyptic number.

1001102012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001102012000 is an abundant number, since it is smaller than the sum of its proper divisors (1458605641312).

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

1001102012000 is an equidigital number, since it uses as much as digits as its factorization.

1001102012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250275528 (or 250275510 counting only the distinct ones).

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

Adding to 1001102012000 its reverse (2102011001), we get a palindrome (1003204023001).

Subtracting from 1001102012000 its reverse (2102011001), we obtain a palindrome (999000000999).

The spelling of 1001102012000 in words is "one trillion, one billion, one hundred two million, twelve thousand".