1001101211000 has 128 divisors (see below), whose sum is σ = 2556269876160. Its totient is φ = 363932608000.

The previous prime is 1001101210997. The next prime is 1001101211009. The reversal of 1001101211000 is 1121011001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001101211009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45716054 + ... + 45737946.

Almost surely, 2^{1001101211000} is an apocalyptic number.

1001101211000 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 1001101211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278134938080).

1001101211000 is an abundant number, since it is smaller than the sum of its proper divisors (1555168665160).

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

1001101211000 is a wasteful number, since it uses less digits than its factorization.

1001101211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26082 (or 26068 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1001101211000 its reverse (1121011001), we get a palindrome (1002222222001).

The spelling of 1001101211000 in words is "one trillion, one billion, one hundred one million, two hundred eleven thousand".