101002202022020 has 192 divisors, whose sum is σ = 242962468358400. Its totient is φ = 34960166092800.

The previous prime is 101002202021957. The next prime is 101002202022097. The reversal of 101002202022020 is 20220202200101.

It is a junction number, because it is equal to n+sod(n) for n = 101002202021986 and 101002202022004.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3570356036 + ... + 3570384324.

It is an arithmetic number, because the mean of its divisors is an integer number (1265429522700).

Almost surely, 2^{101002202022020} is an apocalyptic number.

101002202022020 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 101002202022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121481234179200).

101002202022020 is an abundant number, since it is smaller than the sum of its proper divisors (141960266336380).

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

101002202022020 is a wasteful number, since it uses less digits than its factorization.

101002202022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35878 (or 35876 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 101002202022020 its reverse (20220202200101), we get a palindrome (121222404222121).

The spelling of 101002202022020 in words is "one hundred one trillion, two billion, two hundred two million, twenty-two thousand, twenty".