101011109999982 has 128 divisors (see below), whose sum is σ = 251724356911104. Its totient is φ = 26312000093568.

The previous prime is 101011109999981. The next prime is 101011110000007. The reversal of 101011109999982 is 289999901110101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011109999981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12197103 + ... + 18729429.

It is an arithmetic number, because the mean of its divisors is an integer number (1966596538368).

Almost surely, 2^{101011109999982} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011109999982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125862178455552).

101011109999982 is an abundant number, since it is smaller than the sum of its proper divisors (150713246911122).

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

101011109999982 is a wasteful number, since it uses less digits than its factorization.

101011109999982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532702.

The product of its (nonzero) digits is 944784, while the sum is 60.

The spelling of 101011109999982 in words is "one hundred one trillion, eleven billion, one hundred nine million, nine hundred ninety-nine thousand, nine hundred eighty-two".