101201011201219 has 32 divisors (see below), whose sum is σ = 103212733680000. Its totient is φ = 99214037581824.

The previous prime is 101201011201193. The next prime is 101201011201231. The reversal of 101201011201219 is 912102110102101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101201011201219 - 2³⁷ = 101063572247747 is a prime.

It is a super-2 number, since 2×101201011201219² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101201011201219.

It is not an unprimeable number, because it can be changed into a prime (101201011201289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8354737707 + ... + 8354749819.

It is an arithmetic number, because the mean of its divisors is an integer number (3225397927500).

Almost surely, 2^{101201011201219} is an apocalyptic number.

101201011201219 is a deficient number, since it is larger than the sum of its proper divisors (2011722478781).

101201011201219 is a wasteful number, since it uses less digits than its factorization.

101201011201219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14287.

The product of its (nonzero) digits is 72, while the sum is 22.

The spelling of 101201011201219 in words is "one hundred one trillion, two hundred one billion, eleven million, two hundred one thousand, two hundred nineteen".