101210011101 has 24 divisors (see below), whose sum is σ = 147727145280. Its totient is φ = 66765949056.

The previous prime is 101210011079. The next prime is 101210011121. The reversal of 101210011101 is 101110012101.

It is not a de Polignac number, because 101210011101 - 2⁵ = 101210011069 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210011121) 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, 1160230 + ... + 1244408.

It is an arithmetic number, because the mean of its divisors is an integer number (6155297720).

Almost surely, 2^101210011101 is an apocalyptic number.

It is an amenable number.

101210011101 is a deficient number, since it is larger than the sum of its proper divisors (46517134179).

101210011101 is a wasteful number, since it uses less digits than its factorization.

101210011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85585 (or 85582 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101210011101 its reverse (101110012101), we get a palindrome (202320023202).

It can be divided in two parts, 1012100 and 11101, that added together give a palindrome (1023201).

The spelling of 101210011101 in words is "one hundred one billion, two hundred ten million, eleven thousand, one hundred one".