102002012221095 has 384 divisors, whose sum is σ = 221626589184000. Its totient is φ = 43964973365760.

The previous prime is 102002012221091. The next prime is 102002012221117. The reversal of 102002012221095 is 590122210200201.

It is a happy number.

It is not a de Polignac number, because 102002012221095 - 2² = 102002012221091 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002012221091) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 32703432946 + ... + 32703436064.

It is an arithmetic number, because the mean of its divisors is an integer number (577152576000).

Almost surely, 2^{102002012221095} is an apocalyptic number.

102002012221095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102002012221095 is an abundant number, since it is smaller than the sum of its proper divisors (119624576962905).

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

102002012221095 is a wasteful number, since it uses less digits than its factorization.

102002012221095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4053 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 102002012221095 its reverse (590122210200201), we get a palindrome (692124222421296).

The spelling of 102002012221095 in words is "one hundred two trillion, two billion, twelve million, two hundred twenty-one thousand, ninety-five".