10100121220212 has 48 divisors (see below), whose sum is σ = 23583173577600. Its totient is φ = 3364390149120.

The previous prime is 10100121220183. The next prime is 10100121220213. The reversal of 10100121220212 is 21202212100101.

10100121220212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10100121220191 and 10100121220200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100121220213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107619964 + ... + 107713772.

It is an arithmetic number, because the mean of its divisors is an integer number (491316116200).

Almost surely, 2^{10100121220212} is an apocalyptic number.

10100121220212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10100121220212 is an abundant number, since it is smaller than the sum of its proper divisors (13483052357388).

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

10100121220212 is a wasteful number, since it uses less digits than its factorization.

10100121220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99896 (or 99894 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10100121220212 its reverse (21202212100101), we get a palindrome (31302333320313).

The spelling of 10100121220212 in words is "ten trillion, one hundred billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twelve".