102101001201111 has 16 divisors (see below), whose sum is σ = 148521347843328. Its totient is φ = 61874894400000.

The previous prime is 102101001201103. The next prime is 102101001201181. The reversal of 102101001201111 is 111102100101201.

It is not a de Polignac number, because 102101001201111 - 2³ = 102101001201103 is a prime.

It is a super-2 number, since 2×102101001201111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101001201181) 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, 112046026 + ... + 112953591.

It is an arithmetic number, because the mean of its divisors is an integer number (9282584240208).

Almost surely, 2^{102101001201111} is an apocalyptic number.

102101001201111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102101001201111 is a deficient number, since it is larger than the sum of its proper divisors (46420346642217).

102101001201111 is a wasteful number, since it uses less digits than its factorization.

102101001201111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225013382.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102101001201111 its reverse (111102100101201), we get a palindrome (213203101302312).

The spelling of 102101001201111 in words is "one hundred two trillion, one hundred one billion, one million, two hundred one thousand, one hundred eleven".