101221101120012 has 144 divisors (see below), whose sum is σ = 247687294109472. Its totient is φ = 32161015111680.

The previous prime is 101221101119981. The next prime is 101221101120019. The reversal of 101221101120012 is 210021101122101.

It is a happy number.

It is a super-2 number, since 2×101221101120012² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101221101119973 and 101221101120000.

It is not an unprimeable number, because it can be changed into a prime (101221101120019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585883962 + ... + 586056702.

It is an arithmetic number, because the mean of its divisors is an integer number (1720050653538).

Almost surely, 2^{101221101120012} is an apocalyptic number.

101221101120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101221101120012 is an abundant number, since it is smaller than the sum of its proper divisors (146466192989460).

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

101221101120012 is a wasteful number, since it uses less digits than its factorization.

101221101120012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173548 (or 173509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101221101120012 its reverse (210021101122101), we get a palindrome (311242202242113).

The spelling of 101221101120012 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred one million, one hundred twenty thousand, twelve".