101101862772 has 288 divisors, whose sum is σ = 289793306880. Its totient is φ = 30405196800.

The previous prime is 101101862767. The next prime is 101101862777. The reversal of 101101862772 is 277268101101.

101101862772 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 18 + 627 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (101101862767) and next prime (101101862777).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101862777) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97871568 + ... + 97872600.

It is an arithmetic number, because the mean of its divisors is an integer number (1006226760).

Almost surely, 2^101101862772 is an apocalyptic number.

101101862772 is a gapful number since it is divisible by the number (12) 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 101101862772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144896653440).

101101862772 is an abundant number, since it is smaller than the sum of its proper divisors (188691444108).

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

101101862772 is a wasteful number, since it uses less digits than its factorization.

101101862772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

Adding to 101101862772 its reverse (277268101101), we get a palindrome (378369963873).

The spelling of 101101862772 in words is "one hundred one billion, one hundred one million, eight hundred sixty-two thousand, seven hundred seventy-two".