102100112202011 has 32 divisors (see below), whose sum is σ = 129400446675456. Its totient is φ = 78252527808000.

The previous prime is 102100112201939. The next prime is 102100112202103. The reversal of 102100112202011 is 110202211001201.

102100112202011 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 102100112202011 - 2¹⁰ = 102100112200987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102100114202011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43647560 + ... + 45927221.

It is an arithmetic number, because the mean of its divisors is an integer number (4043763958608).

Almost surely, 2^{102100112202011} is an apocalyptic number.

102100112202011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102100112202011 is a deficient number, since it is larger than the sum of its proper divisors (27300334473445).

102100112202011 is a wasteful number, since it uses less digits than its factorization.

102100112202011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89575043.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102100112202011 its reverse (110202211001201), we get a palindrome (212302323203212).

The spelling of 102100112202011 in words is "one hundred two trillion, one hundred billion, one hundred twelve million, two hundred two thousand, eleven".