101020021101 has 16 divisors (see below), whose sum is σ = 149664208000. Its totient is φ = 67344467904.

The previous prime is 101020021061. The next prime is 101020021121. The reversal of 101020021101 is 101120020101.

It is a happy number.

It is not a de Polignac number, because 101020021101 - 2⁹ = 101020020589 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020021121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1462005 + ... + 1529541.

It is an arithmetic number, because the mean of its divisors is an integer number (9354013000).

Almost surely, 2^101020021101 is an apocalyptic number.

It is an amenable number.

101020021101 is a deficient number, since it is larger than the sum of its proper divisors (48644186899).

101020021101 is an equidigital number, since it uses as much as digits as its factorization.

101020021101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122945 (or 122939 counting only the distinct ones).

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

Adding to 101020021101 its reverse (101120020101), we get a palindrome (202140041202).

It can be divided in two parts, 1010200 and 21101, that added together give a palindrome (1031301).

The spelling of 101020021101 in words is "one hundred one billion, twenty million, twenty-one thousand, one hundred one".