1001121011200 has 60 divisors (see below), whose sum is σ = 2480355549540. Its totient is φ = 400448399360.

The previous prime is 1001121011161. The next prime is 1001121011221. The reversal of 1001121011200 is 21101211001.

It is a super-2 number, since 2×1001121011200² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39093490 + ... + 39119089.

It is an arithmetic number, because the mean of its divisors is an integer number (41339259159).

Almost surely, 2^{1001121011200} is an apocalyptic number.

1001121011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001121011200 is an abundant number, since it is smaller than the sum of its proper divisors (1479234538340).

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

1001121011200 is an frugal number, since it uses more digits than its factorization.

1001121011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78212607 (or 78212586 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1001121011200 its reverse (21101211001), we get a palindrome (1022222222201).

The spelling of 1001121011200 in words is "one trillion, one billion, one hundred twenty-one million, eleven thousand, two hundred".