101066542600 has 48 divisors (see below), whose sum is σ = 235121446800. Its totient is φ = 40402232640.

The previous prime is 101066542571. The next prime is 101066542609. The reversal of 101066542600 is 6245660101.

It is a super-2 number, since 2×101066542600² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101066542609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181831 + ... + 484969.

It is an arithmetic number, because the mean of its divisors is an integer number (4898363475).

Almost surely, 2^101066542600 is an apocalyptic number.

101066542600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101066542600 is an abundant number, since it is smaller than the sum of its proper divisors (134054904200).

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

101066542600 is a wasteful number, since it uses less digits than its factorization.

101066542600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304822 (or 304813 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 101066542600 in words is "one hundred one billion, sixty-six million, five hundred forty-two thousand, six hundred".