101102201122000 has 160 divisors (see below), whose sum is σ = 263505901355424. Its totient is φ = 37296612864000.

The previous prime is 101102201121991. The next prime is 101102201122001. The reversal of 101102201122000 is 221102201101.

It can be written as a sum of positive squares in 16 ways, for example, as 98622218680384 + 2479982441616 = 9930872^2 + 1574796^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102201122001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27301380 + ... + 30782620.

Almost surely, 2^{101102201122000} is an apocalyptic number.

101102201122000 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 101102201122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131752950677712).

101102201122000 is an abundant number, since it is smaller than the sum of its proper divisors (162403700233424).

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

101102201122000 is a wasteful number, since it uses less digits than its factorization.

101102201122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482394 (or 3482378 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101102201122000 its reverse (221102201101), we get a palindrome (101323303323101).

The spelling of 101102201122000 in words is "one hundred one trillion, one hundred two billion, two hundred one million, one hundred twenty-two thousand".