10100212011 has 24 divisors (see below), whose sum is σ = 15207165584. Its totient is φ = 6453691200.

The previous prime is 10100212007. The next prime is 10100212039. The reversal of 10100212011 is 11021200101.

It is a happy number.

It is not a de Polignac number, because 10100212011 - 2² = 10100212007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100211984 and 10100212002.

It is not an unprimeable number, because it can be changed into a prime (10100212051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204040 + ... + 248661.

Almost surely, 2^10100212011 is an apocalyptic number.

10100212011 is a deficient number, since it is larger than the sum of its proper divisors (5106953573).

10100212011 is a wasteful number, since it uses less digits than its factorization.

10100212011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452811 (or 452808 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100212011 its reverse (11021200101), we get a palindrome (21121412112).

It can be divided in two parts, 10100 and 212011, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 10100212011 in words is "ten billion, one hundred million, two hundred twelve thousand, eleven".