101202212211198 has 128 divisors (see below), whose sum is σ = 247177817779200. Its totient is φ = 26979714358272.

The previous prime is 101202212211167. The next prime is 101202212211209. The reversal of 101202212211198 is 891112212202101.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40076940 + ... + 42527232.

It is an arithmetic number, because the mean of its divisors is an integer number (1931076701400).

Almost surely, 2^{101202212211198} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202212211198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123588908889600).

101202212211198 is an abundant number, since it is smaller than the sum of its proper divisors (145975605568002).

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

101202212211198 is a wasteful number, since it uses less digits than its factorization.

101202212211198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451106.

The product of its (nonzero) digits is 2304, while the sum is 33.

Adding to 101202212211198 its reverse (891112212202101), we get a palindrome (992314424413299).

The spelling of 101202212211198 in words is "one hundred one trillion, two hundred two billion, two hundred twelve million, two hundred eleven thousand, one hundred ninety-eight".