10210012121112 has 64 divisors (see below), whose sum is σ = 25824498796800. Its totient is φ = 3363637065600.

The previous prime is 10210012121069. The next prime is 10210012121131. The reversal of 10210012121112 is 21112121001201.

It is a happy number.

It is a super-2 number, since 2×10210012121112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10210012121091 and 10210012121100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6436662 + ... + 7864517.

It is an arithmetic number, because the mean of its divisors is an integer number (403507793700).

Almost surely, 2^{10210012121112} is an apocalyptic number.

10210012121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10210012121112 is an abundant number, since it is smaller than the sum of its proper divisors (15614486675688).

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

10210012121112 is a wasteful number, since it uses less digits than its factorization.

10210012121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14301536 (or 14301532 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10210012121112 its reverse (21112121001201), we get a palindrome (31322133122313).

The spelling of 10210012121112 in words is "ten trillion, two hundred ten billion, twelve million, one hundred twenty-one thousand, one hundred twelve".