101210121202120 has 128 divisors (see below), whose sum is σ = 261885044736000. Its totient is φ = 34483650220800.

The previous prime is 101210121202031. The next prime is 101210121202121. The reversal of 101210121202120 is 21202121012101.

It is a junction number, because it is equal to n+sod(n) for n = 101210121202094 and 101210121202103.

It is not an unprimeable number, because it can be changed into a prime (101210121202121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44069065 + ... + 46308775.

It is an arithmetic number, because the mean of its divisors is an integer number (2045976912000).

Almost surely, 2^{101210121202120} is an apocalyptic number.

101210121202120 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 101210121202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130942522368000).

101210121202120 is an abundant number, since it is smaller than the sum of its proper divisors (160674923533880).

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

101210121202120 is a wasteful number, since it uses less digits than its factorization.

101210121202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240739 (or 2240735 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101210121202120 its reverse (21202121012101), we get a palindrome (122412242214221).

The spelling of 101210121202120 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty-one million, two hundred two thousand, one hundred twenty".