1202121020100 has 576 divisors, whose sum is σ = 4796205023232. Its totient is φ = 224342784000.

The previous prime is 1202121020081. The next prime is 1202121020167. The reversal of 1202121020100 is 10201212021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11057005 + ... + 11165195.

It is an arithmetic number, because the mean of its divisors is an integer number (8326744832).

Almost surely, 2^{1202121020100} is an apocalyptic number.

1202121020100 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 1202121020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398102511616).

1202121020100 is an abundant number, since it is smaller than the sum of its proper divisors (3594084003132).

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

1202121020100 is a wasteful number, since it uses less digits than its factorization.

1202121020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108276 (or 108269 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1202121020100 its reverse (10201212021), we get a palindrome (1212322232121).

The spelling of 1202121020100 in words is "one trillion, two hundred two billion, one hundred twenty-one million, twenty thousand, one hundred".