101202201220120 has 256 divisors, whose sum is σ = 306265224545280. Its totient is φ = 29066117068800.

The previous prime is 101202201220117. The next prime is 101202201220189. The reversal of 101202201220120 is 21022102202101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101202201220094 and 101202201220103.

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, 20649594 + ... + 25076086.

It is an arithmetic number, because the mean of its divisors is an integer number (1196348533380).

Almost surely, 2^{101202201220120} is an apocalyptic number.

101202201220120 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 101202201220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153132612272640).

101202201220120 is an abundant number, since it is smaller than the sum of its proper divisors (205063023325160).

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

101202201220120 is a wasteful number, since it uses less digits than its factorization.

101202201220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4427106 (or 4427102 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101202201220120 its reverse (21022102202101), we get a palindrome (122224303422221).

The spelling of 101202201220120 in words is "one hundred one trillion, two hundred two billion, two hundred one million, two hundred twenty thousand, one hundred twenty".