101111546609640 has 192 divisors, whose sum is σ = 375618069590400. Its totient is φ = 23107463179776.

The previous prime is 101111546609617. The next prime is 101111546609687. The reversal of 101111546609640 is 46906645111101.

101111546609640 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 1 + 1 + 546 + 60 + 9 + 6 + 40 = 666.

It is a super-3 number, since 3×101111546609640³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12306031 + ... + 18805889.

It is an arithmetic number, because the mean of its divisors is an integer number (1956344112450).

Almost surely, 2^{101111546609640} is an apocalyptic number.

101111546609640 is a gapful number since it is divisible by the number (10) 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 101111546609640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187809034795200).

101111546609640 is an abundant number, since it is smaller than the sum of its proper divisors (274506522980760).

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

101111546609640 is a wasteful number, since it uses less digits than its factorization.

101111546609640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6506056 (or 6506049 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 101111546609640 in words is "one hundred one trillion, one hundred eleven billion, five hundred forty-six million, six hundred nine thousand, six hundred forty".