101051151661100 has 36 divisors (see below), whose sum is σ = 219475225212600. Its totient is φ = 40384658616960.

The previous prime is 101051151661021. The next prime is 101051151661151. The reversal of 101051151661100 is 1166151150101.

It is a happy number.

It is a super-2 number, since 2×101051151661100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 447412130 + ... + 447637929.

Almost surely, 2^{101051151661100} is an apocalyptic number.

101051151661100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101051151661100 is an abundant number, since it is smaller than the sum of its proper divisors (118424073551500).

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

101051151661100 is a wasteful number, since it uses less digits than its factorization.

101051151661100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895051202 (or 895051195 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 29.

The spelling of 101051151661100 in words is "one hundred one trillion, fifty-one billion, one hundred fifty-one million, six hundred sixty-one thousand, one hundred".