101102200012000 has 576 divisors, whose sum is σ = 293067093114432. Its totient is φ = 34127622144000.

The previous prime is 101102200011971. The next prime is 101102200012003. The reversal of 101102200012000 is 210002201101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102200012003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 600559839 + ... + 600728161.

It is an arithmetic number, because the mean of its divisors is an integer number (508797036657).

Almost surely, 2^{101102200012000} is an apocalyptic number.

101102200012000 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 101102200012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146533546557216).

101102200012000 is an abundant number, since it is smaller than the sum of its proper divisors (191964893102432).

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

101102200012000 is a wasteful number, since it uses less digits than its factorization.

101102200012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168460 (or 168431 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101102200012000 its reverse (210002201101), we get a palindrome (101312202213101).

The spelling of 101102200012000 in words is "one hundred one trillion, one hundred two billion, two hundred million, twelve thousand".