101201121001200 has 480 divisors, whose sum is σ = 355024900380672. Its totient is φ = 24438540672000.

The previous prime is 101201121001159. The next prime is 101201121001249. The reversal of 101201121001200 is 2100121102101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3689821887 + ... + 3689849313.

Almost surely, 2^{101201121001200} is an apocalyptic number.

101201121001200 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 101201121001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177512450190336).

101201121001200 is an abundant number, since it is smaller than the sum of its proper divisors (253823779379472).

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

101201121001200 is a wasteful number, since it uses less digits than its factorization.

101201121001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28533 (or 28522 counting only the distinct ones).

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

Adding to 101201121001200 its reverse (2100121102101), we get a palindrome (103301242103301).

The spelling of 101201121001200 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, one thousand, two hundred".