101221221111012 has 36 divisors (see below), whose sum is σ = 262780016971836. Its totient is φ = 32828504143680.

The previous prime is 101221221110981. The next prime is 101221221111013. The reversal of 101221221111012 is 210111122122101.

It is a happy number.

101221221111012 is a `hidden beast` number, since 101 + 221 + 221 + 1 + 110 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82868359478436 + 18352861632576 = 9103206^2 + 4284024^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (101221221111013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37995952539 + ... + 37995955202.

Almost surely, 2^{101221221111012} is an apocalyptic number.

101221221111012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101221221111012 is an abundant number, since it is smaller than the sum of its proper divisors (161558795860824).

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

101221221111012 is a wasteful number, since it uses less digits than its factorization.

101221221111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75991907788 (or 75991907783 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101221221111012 its reverse (210111122122101), we get a palindrome (311332343233113).

The spelling of 101221221111012 in words is "one hundred one trillion, two hundred twenty-one billion, two hundred twenty-one million, one hundred eleven thousand, twelve".