102011131123110 has 192 divisors, whose sum is σ = 301968718212096. Its totient is φ = 23650992288000.

The previous prime is 102011131123051. The next prime is 102011131123127. The reversal of 102011131123110 is 11321131110201.

102011131123110 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 111 + 311 + 231 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144076960 + ... + 144783260.

It is an arithmetic number, because the mean of its divisors is an integer number (1572753740688).

Almost surely, 2^{102011131123110} is an apocalyptic number.

102011131123110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102011131123110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150984359106048).

102011131123110 is an abundant number, since it is smaller than the sum of its proper divisors (199957587088986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102011131123110 is a wasteful number, since it uses less digits than its factorization.

102011131123110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712691 (or 712688 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 102011131123110 its reverse (11321131110201), we get a palindrome (113332262233311).

The spelling of 102011131123110 in words is "one hundred two trillion, eleven billion, one hundred thirty-one million, one hundred twenty-three thousand, one hundred ten".