1001101201000 has 64 divisors (see below), whose sum is σ = 2351910375360. Its totient is φ = 398845000000.

The previous prime is 1001101200973. The next prime is 1001101201003. The reversal of 1001101201000 is 1021011001.

It is a super-2 number, since 2×1001101201000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001101201003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1743226 + ... + 2245225.

It is an arithmetic number, because the mean of its divisors is an integer number (36748599615).

Almost surely, 2^{1001101201000} is an apocalyptic number.

1001101201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001101201000 is an abundant number, since it is smaller than the sum of its proper divisors (1350809174360).

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

1001101201000 is a wasteful number, since it uses less digits than its factorization.

1001101201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988723 (or 3988709 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001101201000 its reverse (1021011001), we get a palindrome (1002122212001).

The spelling of 1001101201000 in words is "one trillion, one billion, one hundred one million, two hundred one thousand".