101101212120100 has 72 divisors (see below), whose sum is σ = 219588958907136. Its totient is φ = 40403758560000.

The previous prime is 101101212120047. The next prime is 101101212120107. The reversal of 101101212120100 is 1021212101101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101101212120107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 507128440 + ... + 507327760.

It is an arithmetic number, because the mean of its divisors is an integer number (3049846651488).

Almost surely, 2^{101101212120100} is an apocalyptic number.

101101212120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101212120100 is an abundant number, since it is smaller than the sum of its proper divisors (118487746787036).

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

101101212120100 is a wasteful number, since it uses less digits than its factorization.

101101212120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203917 (or 203910 counting only the distinct ones).

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

Adding to 101101212120100 its reverse (1021212101101), we get a palindrome (102122424221201).

The spelling of 101101212120100 in words is "one hundred one trillion, one hundred one billion, two hundred twelve million, one hundred twenty thousand, one hundred".