102010000101123 has 16 divisors (see below), whose sum is σ = 141927190454016. Its totient is φ = 65049747982560.

The previous prime is 102010000101091. The next prime is 102010000101137. The reversal of 102010000101123 is 321101000010201.

It is not a de Polignac number, because 102010000101123 - 2⁵ = 102010000101091 is a prime.

It is a super-2 number, since 2×102010000101123² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102010000101099 and 102010000101108.

It is not an unprimeable number, because it can be changed into a prime (102010000101323) 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, 78852661 + ... + 80135897.

It is an arithmetic number, because the mean of its divisors is an integer number (8870449403376).

Almost surely, 2^{102010000101123} is an apocalyptic number.

102010000101123 is a deficient number, since it is larger than the sum of its proper divisors (39917190352893).

102010000101123 is a wasteful number, since it uses less digits than its factorization.

102010000101123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435354.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 102010000101123 its reverse (321101000010201), we get a palindrome (423111000111324).

The spelling of 102010000101123 in words is "one hundred two trillion, ten billion, one hundred one thousand, one hundred twenty-three".