102101221021014 has 40 divisors (see below), whose sum is σ = 228783759153840. Its totient is φ = 34033533038064.

The previous prime is 102101221021013. The next prime is 102101221021031. The reversal of 102101221021014 is 410120122101201.

102101221021014 is a `hidden beast` number, since 10 + 210 + 1 + 221 + 0 + 210 + 14 = 666.

It is a super-2 number, since 2×102101221021014² (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 not an unprimeable number, because it can be changed into a prime (102101221021013) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26009247 + ... + 29676309.

It is an arithmetic number, because the mean of its divisors is an integer number (5719593978846).

Almost surely, 2^{102101221021014} is an apocalyptic number.

102101221021014 is an abundant number, since it is smaller than the sum of its proper divisors (126682538132826).

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

102101221021014 is a wasteful number, since it uses less digits than its factorization.

102101221021014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838946 (or 3838937 counting only the distinct ones).

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

Adding to 102101221021014 its reverse (410120122101201), we get a palindrome (512221343122215).

The spelling of 102101221021014 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-one million, twenty-one thousand, fourteen".