102213011121102 has 144 divisors (see below), whose sum is σ = 258073707528000. Its totient is φ = 29152129982976.

The previous prime is 102213011121077. The next prime is 102213011121157. The reversal of 102213011121102 is 201121110312201.

It is a happy number.

102213011121102 is a `hidden beast` number, since 10 + 221 + 301 + 1 + 121 + 10 + 2 = 666.

It is a super-2 number, since 2×102213011121102² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7301443899 + ... + 7301457897.

It is an arithmetic number, because the mean of its divisors is an integer number (1792178524500).

Almost surely, 2^{102213011121102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102213011121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129036853764000).

102213011121102 is an abundant number, since it is smaller than the sum of its proper divisors (155860696406898).

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

102213011121102 is a wasteful number, since it uses less digits than its factorization.

102213011121102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28055 (or 28045 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102213011121102 its reverse (201121110312201), we get a palindrome (303334121433303).

The spelling of 102213011121102 in words is "one hundred two trillion, two hundred thirteen billion, eleven million, one hundred twenty-one thousand, one hundred two".