101102200120 has 64 divisors (see below), whose sum is σ = 234807582240. Its totient is φ = 39153254400.

The previous prime is 101102200061. The next prime is 101102200123. The reversal of 101102200120 is 21002201101.

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 = 101102200097 and 101102200106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102200123) 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, 20457 + ... + 450136.

Almost surely, 2^101102200120 is an apocalyptic number.

101102200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117403791120).

101102200120 is an abundant number, since it is smaller than the sum of its proper divisors (133705382120).

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

101102200120 is a wasteful number, since it uses less digits than its factorization.

101102200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470776 (or 470772 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101102200120 its reverse (21002201101), we get a palindrome (122104401221).

The spelling of 101102200120 in words is "one hundred one billion, one hundred two million, two hundred thousand, one hundred twenty".