10212100101100 has 18 divisors (see below), whose sum is σ = 22160257219604. Its totient is φ = 4084840040400.

The previous prime is 10212100101097. The next prime is 10212100101103. The reversal of 10212100101100 is 110100121201.

It is an interprime number because it is at equal distance from previous prime (10212100101097) and next prime (10212100101103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10212100101103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51060500406 + ... + 51060500605.

Almost surely, 2^{10212100101100} is an apocalyptic number.

10212100101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212100101100 is an abundant number, since it is smaller than the sum of its proper divisors (11948157118504).

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

10212100101100 is a wasteful number, since it uses less digits than its factorization.

10212100101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102121001025 (or 102121001018 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10212100101100 its reverse (110100121201), we get a palindrome (10322200222301).

The spelling of 10212100101100 in words is "ten trillion, two hundred twelve billion, one hundred million, one hundred one thousand, one hundred".