101405211552 has 60 divisors (see below), whose sum is σ = 298229917986. Its totient is φ = 33801736320.

The previous prime is 101405211529. The next prime is 101405211569. The reversal of 101405211552 is 255112504101.

It is a happy number.

101405211552 is a `hidden beast` number, since 10 + 1 + 40 + 52 + 11 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92515738896 + 8889472656 = 304164^2 + 94284^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19558599 + ... + 19563782.

Almost surely, 2^101405211552 is an apocalyptic number.

101405211552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101405211552 is an abundant number, since it is smaller than the sum of its proper divisors (196824706434).

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

101405211552 is an equidigital number, since it uses as much as digits as its factorization.

101405211552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39122403 (or 39122386 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

Adding to 101405211552 its reverse (255112504101), we get a palindrome (356517715653).

The spelling of 101405211552 in words is "one hundred one billion, four hundred five million, two hundred eleven thousand, five hundred fifty-two".