101001122112100 has 36 divisors (see below), whose sum is σ = 250482782839744. Its totient is φ = 34628956152480.

The previous prime is 101001122112091. The next prime is 101001122112101. The reversal of 101001122112100 is 1211221100101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101001122112101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 72143657952 + ... + 72143659351.

Almost surely, 2^{101001122112100} is an apocalyptic number.

101001122112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001122112100 is an abundant number, since it is smaller than the sum of its proper divisors (149481660727644).

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

101001122112100 is a wasteful number, since it uses less digits than its factorization.

101001122112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144287317324 (or 144287317317 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101001122112100 its reverse (1211221100101), we get a palindrome (102212343212201).

The spelling of 101001122112100 in words is "one hundred one trillion, one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred".