101202212202000 has 1920 divisors, whose sum is σ = 433422660602880. Its totient is φ = 19819501977600.

The previous prime is 101202212201953. The next prime is 101202212202037. The reversal of 101202212202000 is 202212202101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8808612256 + ... + 8808623744.

It is an arithmetic number, because the mean of its divisors is an integer number (225740969064).

Almost surely, 2^{101202212202000} is an apocalyptic number.

101202212202000 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 101202212202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216711330301440).

101202212202000 is an abundant number, since it is smaller than the sum of its proper divisors (332220448400880).

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

101202212202000 is a wasteful number, since it uses less digits than its factorization.

101202212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11638 (or 11609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101202212202000 its reverse (202212202101), we get a palindrome (101404424404101).

The spelling of 101202212202000 in words is "one hundred one trillion, two hundred two billion, two hundred twelve million, two hundred two thousand".