102101112211 has 8 divisors (see below), whose sum is σ = 116697557504. Its totient is φ = 87507309960.

The previous prime is 102101112181. The next prime is 102101112257. The reversal of 102101112211 is 112211101201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102101112211 - 2¹³ = 102101104019 is a prime.

It is a super-2 number, since 2×102101112211² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101112191 and 102101112200.

It is not an unprimeable number, because it can be changed into a prime (102101112811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577275 + ... + 733108.

It is an arithmetic number, because the mean of its divisors is an integer number (14587194688).

Almost surely, 2^102101112211 is an apocalyptic number.

102101112211 is a deficient number, since it is larger than the sum of its proper divisors (14596445293).

102101112211 is a wasteful number, since it uses less digits than its factorization.

102101112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321521.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102101112211 its reverse (112211101201), we get a palindrome (214312213412).

The spelling of 102101112211 in words is "one hundred two billion, one hundred one million, one hundred twelve thousand, two hundred eleven".