10100211101012 has 24 divisors (see below), whose sum is σ = 18770303832000. Its totient is φ = 4741971486336.

The previous prime is 10100211101011. The next prime is 10100211101017. The reversal of 10100211101012 is 21010111200101.

It is a junction number, because it is equal to n+sod(n) for n = 10100211100984 and 10100211101002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100211101011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 588033512 + ... + 588050687.

It is an arithmetic number, because the mean of its divisors is an integer number (782095993000).

Almost surely, 2^{10100211101012} is an apocalyptic number.

It is an amenable number.

10100211101012 is a deficient number, since it is larger than the sum of its proper divisors (8670092730988).

10100211101012 is a wasteful number, since it uses less digits than its factorization.

10100211101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176084335 (or 1176084333 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10100211101012 its reverse (21010111200101), we get a palindrome (31110322301113).

It can be divided in two parts, 10100 and 211101012, that added together give a palindrome (211111112).

The spelling of 10100211101012 in words is "ten trillion, one hundred billion, two hundred eleven million, one hundred one thousand, twelve".