101527122641084 has 72 divisors (see below), whose sum is σ = 208557516545280. Its totient is φ = 43116580706304.

The previous prime is 101527122641071. The next prime is 101527122641093. The reversal of 101527122641084 is 480146221725101.

It is a super-2 number, since 2×101527122641084² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95527397 + ... + 96584355.

It is an arithmetic number, because the mean of its divisors is an integer number (2896632174240).

Almost surely, 2^{101527122641084} is an apocalyptic number.

101527122641084 is a gapful number since it is divisible by the number (14) 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 101527122641084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104278758272640).

101527122641084 is an abundant number, since it is smaller than the sum of its proper divisors (107030393904196).

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

101527122641084 is a wasteful number, since it uses less digits than its factorization.

101527122641084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061427 (or 1061418 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 101527122641084 in words is "one hundred one trillion, five hundred twenty-seven billion, one hundred twenty-two million, six hundred forty-one thousand, eighty-four".