101777777772 has 48 divisors (see below), whose sum is σ = 259092352512. Its totient is φ = 30839174080.

The previous prime is 101777777771. The next prime is 101777777791. The reversal of 101777777772 is 277777777101.

101777777772 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101777777772³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101777777771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2072818 + ... + 2121350.

It is an arithmetic number, because the mean of its divisors is an integer number (5397757344).

Almost surely, 2^101777777772 is an apocalyptic number.

101777777772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101777777772 is an abundant number, since it is smaller than the sum of its proper divisors (157314574740).

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

101777777772 is a wasteful number, since it uses less digits than its factorization.

101777777772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64438 (or 64436 counting only the distinct ones).

The product of its (nonzero) digits is 11529602, while the sum is 60.

The spelling of 101777777772 in words is "one hundred one billion, seven hundred seventy-seven million, seven hundred seventy-seven thousand, seven hundred seventy-two".