101101120002012 has 48 divisors (see below), whose sum is σ = 254050217648640. Its totient is φ = 31107883931328.

The previous prime is 101101120002011. The next prime is 101101120002053. The reversal of 101101120002012 is 210200021101101.

It is a super-2 number, since 2×101101120002012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101120002011) 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, 32566993 + ... + 35536055.

It is an arithmetic number, because the mean of its divisors is an integer number (5292712867680).

Almost surely, 2^{101101120002012} is an apocalyptic number.

101101120002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101101120002012 is an abundant number, since it is smaller than the sum of its proper divisors (152949097646628).

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

101101120002012 is a wasteful number, since it uses less digits than its factorization.

101101120002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187362 (or 3187360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101101120002012 its reverse (210200021101101), we get a palindrome (311301141103113).

The spelling of 101101120002012 in words is "one hundred one trillion, one hundred one billion, one hundred twenty million, two thousand, twelve".