101111122119 has 64 divisors (see below), whose sum is σ = 158993252352. Its totient is φ = 55968192000.

The previous prime is 101111122103. The next prime is 101111122121. The reversal of 101111122119 is 911221111101.

It is a happy number.

It is not a de Polignac number, because 101111122119 - 2⁴ = 101111122103 is a prime.

It is a super-2 number, since 2×101111122119² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101111122095 and 101111122104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111122169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25486074 + ... + 25490040.

It is an arithmetic number, because the mean of its divisors is an integer number (2484269568).

Almost surely, 2^101111122119 is an apocalyptic number.

101111122119 is a deficient number, since it is larger than the sum of its proper divisors (57882130233).

101111122119 is a wasteful number, since it uses less digits than its factorization.

101111122119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336.

The product of its (nonzero) digits is 36, while the sum is 21.

The spelling of 101111122119 in words is "one hundred one billion, one hundred eleven million, one hundred twenty-two thousand, one hundred nineteen".