101112211998 has 192 divisors, whose sum is σ = 261580161024. Its totient is φ = 27621000000.

The previous prime is 101112211987. The next prime is 101112211999. The reversal of 101112211998 is 899112211101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112211999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 148040965 + ... + 148041647.

It is an arithmetic number, because the mean of its divisors is an integer number (1362396672).

Almost surely, 2^101112211998 is an apocalyptic number.

101112211998 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112211998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130790080512).

101112211998 is an abundant number, since it is smaller than the sum of its proper divisors (160467949026).

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

101112211998 is a wasteful number, since it uses less digits than its factorization.

101112211998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 36.

The spelling of 101112211998 in words is "one hundred one billion, one hundred twelve million, two hundred eleven thousand, nine hundred ninety-eight".