101322120102000 has 640 divisors, whose sum is σ = 383847128211456. Its totient is φ = 22511001600000.

The previous prime is 101322120101963. The next prime is 101322120102031. The reversal of 101322120102000 is 201021223101.

It is a super-2 number, since 2×101322120102000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 466553440 + ... + 466770560.

Almost surely, 2^{101322120102000} is an apocalyptic number.

101322120102000 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 101322120102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191923564105728).

101322120102000 is an abundant number, since it is smaller than the sum of its proper divisors (282525008109456).

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

101322120102000 is a wasteful number, since it uses less digits than its factorization.

101322120102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217466 (or 217450 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101322120102000 its reverse (201021223101), we get a palindrome (101523141325101).

The spelling of 101322120102000 in words is "one hundred one trillion, three hundred twenty-two billion, one hundred twenty million, one hundred two thousand".