101201000100111 has 8 divisors (see below), whose sum is σ = 149927407555760. Its totient is φ = 67467333400056.

The previous prime is 101201000100077. The next prime is 101201000100121. The reversal of 101201000100111 is 111001000102101.

It is not a de Polignac number, because 101201000100111 - 2¹⁷ = 101200999969039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101201000100093 and 101201000100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201000100121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1874092594420 + ... + 1874092594473.

It is an arithmetic number, because the mean of its divisors is an integer number (18740925944470).

Almost surely, 2^{101201000100111} is an apocalyptic number.

101201000100111 is a deficient number, since it is larger than the sum of its proper divisors (48726407455649).

101201000100111 is an equidigital number, since it uses as much as digits as its factorization.

101201000100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748185188902 (or 3748185188896 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101201000100111 its reverse (111001000102101), we get a palindrome (212202000202212).

The spelling of 101201000100111 in words is "one hundred one trillion, two hundred one billion, one hundred thousand, one hundred eleven".