101202122221020 has 288 divisors, whose sum is σ = 315897625645056. Its totient is φ = 26206170278400.

The previous prime is 101202122221001. The next prime is 101202122221043. The reversal of 101202122221020 is 20122221202101.

It is a happy number.

101202122221020 is a `hidden beast` number, since 10 + 1 + 202 + 1 + 222 + 210 + 20 = 666.

101202122221020 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101202122220984 and 101202122221002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8101996975 + ... + 8102009465.

It is an arithmetic number, because the mean of its divisors is an integer number (1096866755712).

Almost surely, 2^{101202122221020} is an apocalyptic number.

101202122221020 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 101202122221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157948812822528).

101202122221020 is an abundant number, since it is smaller than the sum of its proper divisors (214695503424036).

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

101202122221020 is a wasteful number, since it uses less digits than its factorization.

101202122221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14841 (or 14836 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101202122221020 its reverse (20122221202101), we get a palindrome (121324343423121).

The spelling of 101202122221020 in words is "one hundred one trillion, two hundred two billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty".