101211212110120 has 256 divisors, whose sum is σ = 285946711142400. Its totient is φ = 31450919915520.

The previous prime is 101211212110039. The next prime is 101211212110121. The reversal of 101211212110120 is 21011212112101.

It is a junction number, because it is equal to n+sod(n) for n = 101211212110094 and 101211212110103.

It is not an unprimeable number, because it can be changed into a prime (101211212110121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11049991 + ... + 18014569.

It is an arithmetic number, because the mean of its divisors is an integer number (1116979340400).

Almost surely, 2^{101211212110120} is an apocalyptic number.

101211212110120 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 101211212110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142973355571200).

101211212110120 is an abundant number, since it is smaller than the sum of its proper divisors (184735499032280).

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

101211212110120 is a wasteful number, since it uses less digits than its factorization.

101211212110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6964728 (or 6964724 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 101211212110120 its reverse (21011212112101), we get a palindrome (122222424222221).

The spelling of 101211212110120 in words is "one hundred one trillion, two hundred eleven billion, two hundred twelve million, one hundred ten thousand, one hundred twenty".