101201120119 has 16 divisors (see below), whose sum is σ = 112112501760. Its totient is φ = 90578572000.

The previous prime is 101201120107. The next prime is 101201120147. The reversal of 101201120119 is 911021102101.

It is a cyclic number.

It is not a de Polignac number, because 101201120119 - 2¹³ = 101201111927 is a prime.

It is a super-2 number, since 2×101201120119² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101201120096 and 101201120105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201120159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471429 + ... + 651649.

It is an arithmetic number, because the mean of its divisors is an integer number (7007031360).

Almost surely, 2^101201120119 is an apocalyptic number.

101201120119 is a deficient number, since it is larger than the sum of its proper divisors (10911381641).

101201120119 is a wasteful number, since it uses less digits than its factorization.

101201120119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181022.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 101201120119 in words is "one hundred one billion, two hundred one million, one hundred twenty thousand, one hundred nineteen".