1201121120100 has 144 divisors (see below), whose sum is σ = 3798429384960. Its totient is φ = 290623708800.

The previous prime is 1201121120093. The next prime is 1201121120107. The reversal of 1201121120100 is 10211211021.

It is an interprime number because it is at equal distance from previous prime (1201121120093) and next prime (1201121120107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1201121120107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1377931 + ... + 2073869.

It is an arithmetic number, because the mean of its divisors is an integer number (26377981840).

Almost surely, 2^{1201121120100} is an apocalyptic number.

1201121120100 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 1201121120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899214692480).

1201121120100 is an abundant number, since it is smaller than the sum of its proper divisors (2597308264860).

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

1201121120100 is a wasteful number, since it uses less digits than its factorization.

1201121120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696490 (or 696483 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1201121120100 its reverse (10211211021), we get a palindrome (1211332331121).

The spelling of 1201121120100 in words is "one trillion, two hundred one billion, one hundred twenty-one million, one hundred twenty thousand, one hundred".