101102120000123 has 16 divisors (see below), whose sum is σ = 116783971144416. Its totient is φ = 86502330109440.

The previous prime is 101102120000117. The next prime is 101102120000153. The reversal of 101102120000123 is 321000021201101.

It is a cyclic number.

It is not a de Polignac number, because 101102120000123 - 2⁴ = 101102120000107 is a prime.

It is a super-2 number, since 2×101102120000123² (a number of 29 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 = 101102120000098 and 101102120000107.

It is not an unprimeable number, because it can be changed into a prime (101102120000153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797465 + ... + 14242197.

It is an arithmetic number, because the mean of its divisors is an integer number (7298998196526).

Almost surely, 2^{101102120000123} is an apocalyptic number.

101102120000123 is a deficient number, since it is larger than the sum of its proper divisors (15681851144293).

101102120000123 is a wasteful number, since it uses less digits than its factorization.

101102120000123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13484974.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101102120000123 its reverse (321000021201101), we get a palindrome (422102141201224).

The spelling of 101102120000123 in words is "one hundred one trillion, one hundred two billion, one hundred twenty million, one hundred twenty-three", and thus it is an aban number.