10121102022012 has 48 divisors (see below), whose sum is σ = 24138084136320. Its totient is φ = 3299684137792.

The previous prime is 10121102021983. The next prime is 10121102022037. The reversal of 10121102022012 is 21022020112101.

It is a super-2 number, since 2×10121102022012² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121102021982 and 10121102022000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36143118 + ... + 36422069.

It is an arithmetic number, because the mean of its divisors is an integer number (502876752840).

Almost surely, 2^{10121102022012} is an apocalyptic number.

10121102022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121102022012 is an abundant number, since it is smaller than the sum of its proper divisors (14016982114308).

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

10121102022012 is a wasteful number, since it uses less digits than its factorization.

10121102022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72565450 (or 72565448 counting only the distinct ones).

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

Adding to 10121102022012 its reverse (21022020112101), we get a palindrome (31143122134113).

The spelling of 10121102022012 in words is "ten trillion, one hundred twenty-one billion, one hundred two million, twenty-two thousand, twelve".