101120202101100 has 216 divisors, whose sum is σ = 366521840923728. Its totient is φ = 21335251392000.

The previous prime is 101120202101071. The next prime is 101120202101101. The reversal of 101120202101100 is 1101202021101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101120202101101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 264382951 + ... + 264765150.

Almost surely, 2^{101120202101100} is an apocalyptic number.

101120202101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120202101100 is an abundant number, since it is smaller than the sum of its proper divisors (265401638822628).

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

101120202101100 is a wasteful number, since it uses less digits than its factorization.

101120202101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529148145 (or 529148131 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101120202101100 its reverse (1101202021101), we get a palindrome (102221404122201).

The spelling of 101120202101100 in words is "one hundred one trillion, one hundred twenty billion, two hundred two million, one hundred one thousand, one hundred".