101210211011 has 32 divisors (see below), whose sum is σ = 130239083520. Its totient is φ = 76445449344.

The previous prime is 101210210963. The next prime is 101210211013. The reversal of 101210211011 is 110112012101.

It is a cyclic number.

It is not a de Polignac number, because 101210211011 - 2⁶ = 101210210947 is a prime.

It is a super-2 number, since 2×101210211011² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101210210983 and 101210211001.

It is not an unprimeable number, because it can be changed into a prime (101210211013) 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, 1017836 + ... + 1112838.

It is an arithmetic number, because the mean of its divisors is an integer number (4069971360).

Almost surely, 2^101210211011 is an apocalyptic number.

101210211011 is a deficient number, since it is larger than the sum of its proper divisors (29028872509).

101210211011 is a wasteful number, since it uses less digits than its factorization.

101210211011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95555.

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

Adding to 101210211011 its reverse (110112012101), we get a palindrome (211322223112).

The spelling of 101210211011 in words is "one hundred one billion, two hundred ten million, two hundred eleven thousand, eleven".