10001022100212 has 96 divisors (see below), whose sum is σ = 27416397335040. Its totient is φ = 2797385834880.

The previous prime is 10001022100211. The next prime is 10001022100213. The reversal of 10001022100212 is 21200122010001.

It is an interprime number because it is at equal distance from previous prime (10001022100211) and next prime (10001022100213).

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 (10001022100211) 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, 54757339 + ... + 54939677.

It is an arithmetic number, because the mean of its divisors is an integer number (285587472240).

Almost surely, 2^{10001022100212} is an apocalyptic number.

10001022100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10001022100212 is an abundant number, since it is smaller than the sum of its proper divisors (17415375234828).

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

10001022100212 is a wasteful number, since it uses less digits than its factorization.

10001022100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214333 (or 214331 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10001022100212 its reverse (21200122010001), we get a palindrome (31201144110213).

It can be divided in two parts, 100010 and 22100212, that added together give a palindrome (22200222).

The spelling of 10001022100212 in words is "ten trillion, one billion, twenty-two million, one hundred thousand, two hundred twelve".