101211201120100 has 72 divisors (see below), whose sum is σ = 221339006396928. Its totient is φ = 40169765472000.

The previous prime is 101211201120091. The next prime is 101211201120151. The reversal of 101211201120100 is 1021102112101.

It is a happy number.

It is a super-3 number, since 3×101211201120100³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9147912 + ... + 16914688.

It is an arithmetic number, because the mean of its divisors is an integer number (3074152866624).

Almost surely, 2^{101211201120100} is an apocalyptic number.

101211201120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101211201120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110669503198464).

101211201120100 is an abundant number, since it is smaller than the sum of its proper divisors (120127805276828).

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

101211201120100 is a wasteful number, since it uses less digits than its factorization.

101211201120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7767805 (or 7767798 counting only the distinct ones).

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

Adding to 101211201120100 its reverse (1021102112101), we get a palindrome (102232303232201).

The spelling of 101211201120100 in words is "one hundred one trillion, two hundred eleven billion, two hundred one million, one hundred twenty thousand, one hundred".