102011211101112 has 96 divisors (see below), whose sum is σ = 271666762876800. Its totient is φ = 31914370141696.

The previous prime is 102011211101089. The next prime is 102011211101131. The reversal of 102011211101112 is 211101112110201.

It is a super-2 number, since 2×102011211101112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102011211101091 and 102011211101100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17993958 + ... + 22974005.

It is an arithmetic number, because the mean of its divisors is an integer number (2829862113300).

Almost surely, 2^{102011211101112} is an apocalyptic number.

102011211101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102011211101112 is an abundant number, since it is smaller than the sum of its proper divisors (169655551775688).

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

102011211101112 is a wasteful number, since it uses less digits than its factorization.

102011211101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40968365 (or 40968344 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 102011211101112 its reverse (211101112110201), we get a palindrome (313112323211313).

The spelling of 102011211101112 in words is "one hundred two trillion, eleven billion, two hundred eleven million, one hundred one thousand, one hundred twelve".