102101102213 has 16 divisors (see below), whose sum is σ = 121122402624. Its totient is φ = 84998165760.

The previous prime is 102101102209. The next prime is 102101102231. The reversal of 102101102213 is 312201101201.

It is a cyclic number.

It is not a de Polignac number, because 102101102213 - 2² = 102101102209 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101102713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7371395 + ... + 7385232.

It is an arithmetic number, because the mean of its divisors is an integer number (7570150164).

Almost surely, 2^102101102213 is an apocalyptic number.

It is an amenable number.

102101102213 is a deficient number, since it is larger than the sum of its proper divisors (19021300411).

102101102213 is a wasteful number, since it uses less digits than its factorization.

102101102213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14756692.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 102101102213 its reverse (312201101201), we get a palindrome (414302203414).

The spelling of 102101102213 in words is "one hundred two billion, one hundred one million, one hundred two thousand, two hundred thirteen".