101122002131112 has 192 divisors, whose sum is σ = 300004377004800. Its totient is φ = 30628273858560.

The previous prime is 101122002130927. The next prime is 101122002131147. The reversal of 101122002131112 is 211131200221101.

It is a happy number.

101122002131112 is a `hidden beast` number, since 10 + 112 + 200 + 21 + 311 + 12 = 666.

It is a super-3 number, since 3×101122002131112³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 499931037 + ... + 500133267.

It is an arithmetic number, because the mean of its divisors is an integer number (1562522796900).

Almost surely, 2^{101122002131112} is an apocalyptic number.

101122002131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122002131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150002188502400).

101122002131112 is an abundant number, since it is smaller than the sum of its proper divisors (198882374873688).

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

101122002131112 is a wasteful number, since it uses less digits than its factorization.

101122002131112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216376 (or 216369 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101122002131112 its reverse (211131200221101), we get a palindrome (312253202352213).

The spelling of 101122002131112 in words is "one hundred one trillion, one hundred twenty-two billion, two million, one hundred thirty-one thousand, one hundred twelve".