101021112101 has 48 divisors (see below), whose sum is σ = 129906866880. Its totient is φ = 77836631040.

The previous prime is 101021112047. The next prime is 101021112121. The reversal of 101021112101 is 101211120101.

It is not a de Polignac number, because 101021112101 - 2¹⁸ = 101020849957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021112121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4008821 + ... + 4033941.

It is an arithmetic number, because the mean of its divisors is an integer number (2706393060).

Almost surely, 2^101021112101 is an apocalyptic number.

It is an amenable number.

101021112101 is a deficient number, since it is larger than the sum of its proper divisors (28885754779).

101021112101 is a wasteful number, since it uses less digits than its factorization.

101021112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25314 (or 25307 counting only the distinct ones).

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

Adding to 101021112101 its reverse (101211120101), we get a palindrome (202232232202).

The spelling of 101021112101 in words is "one hundred one billion, twenty-one million, one hundred twelve thousand, one hundred one".