101101121020 has 48 divisors (see below), whose sum is σ = 213604110720. Its totient is φ = 40194814464.

The previous prime is 101101120997. The next prime is 101101121053. The reversal of 101101121020 is 20121101101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101101120988 and 101101121006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4081312 + ... + 4106008.

It is an arithmetic number, because the mean of its divisors is an integer number (4450085640).

Almost surely, 2^101101121020 is an apocalyptic number.

101101121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101121020 is an abundant number, since it is smaller than the sum of its proper divisors (112502989700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101121020 is a wasteful number, since it uses less digits than its factorization.

101101121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25942 (or 25940 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101101121020 its reverse (20121101101), we get a palindrome (121222222121).

The spelling of 101101121020 in words is "one hundred one billion, one hundred one million, one hundred twenty-one thousand, twenty".