10100121100212 has 384 divisors, whose sum is σ = 28400795136000. Its totient is φ = 2753574912000.

The previous prime is 10100121100211. The next prime is 10100121100213. The reversal of 10100121100212 is 21200112100101.

It is an interprime number because it is at equal distance from previous prime (10100121100211) and next prime (10100121100213).

It is a super-2 number, since 2×10100121100212² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100121100211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3345517239 + ... + 3345520257.

It is an arithmetic number, because the mean of its divisors is an integer number (73960404000).

Almost surely, 2^{10100121100212} is an apocalyptic number.

10100121100212 is a gapful number since it is divisible by the number (12) 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 10100121100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14200397568000).

10100121100212 is an abundant number, since it is smaller than the sum of its proper divisors (18300674035788).

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

10100121100212 is a wasteful number, since it uses less digits than its factorization.

10100121100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3447 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100121100212 its reverse (21200112100101), we get a palindrome (31300233200313).

The spelling of 10100121100212 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one hundred thousand, two hundred twelve".