101120122221012 has 36 divisors (see below), whose sum is σ = 255609718689780. Its totient is φ = 33706638723072.

The previous prime is 101120122221011. The next prime is 101120122221029. The reversal of 101120122221012 is 210122221021101.

101120122221012 is a `hidden beast` number, since 10 + 11 + 201 + 222 + 210 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57046509891396 + 44073612329616 = 7552914^2 + 6638796^2 .

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120122221011) 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, 16924564 + ... + 22106132.

It is an arithmetic number, because the mean of its divisors is an integer number (7100269963605).

Almost surely, 2^{101120122221012} is an apocalyptic number.

101120122221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101120122221012 is an abundant number, since it is smaller than the sum of its proper divisors (154489596468768).

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

101120122221012 is a wasteful number, since it uses less digits than its factorization.

101120122221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723672 (or 5723667 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101120122221012 its reverse (210122221021101), we get a palindrome (311242343242113).

The spelling of 101120122221012 in words is "one hundred one trillion, one hundred twenty billion, one hundred twenty-two million, two hundred twenty-one thousand, twelve".