101101211222202 has 128 divisors (see below), whose sum is σ = 230988280089600. Its totient is φ = 32765545612800.

The previous prime is 101101211222201. The next prime is 101101211222269. The reversal of 101101211222202 is 202222112101101.

101101211222202 is a `hidden beast` number, since 10 + 110 + 121 + 1 + 222 + 202 = 666.

101101211222202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101101211222201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 998765952 + ... + 998867172.

It is an arithmetic number, because the mean of its divisors is an integer number (1804595938200).

Almost surely, 2^{101101211222202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101101211222202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115494140044800).

101101211222202 is an abundant number, since it is smaller than the sum of its proper divisors (129887068867398).

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

101101211222202 is a wasteful number, since it uses less digits than its factorization.

101101211222202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104789 (or 104783 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101101211222202 its reverse (202222112101101), we get a palindrome (303323323323303).

The spelling of 101101211222202 in words is "one hundred one trillion, one hundred one billion, two hundred eleven million, two hundred twenty-two thousand, two hundred two".