102022101020 has 192 divisors, whose sum is σ = 263591387136. Its totient is φ = 32374702080.

The previous prime is 102022101017. The next prime is 102022101031. The reversal of 102022101020 is 20101220201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102022100992 and 102022101010.

It is a congruent number.

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, 47606069 + ... + 47608211.

It is an arithmetic number, because the mean of its divisors is an integer number (1372871808).

Almost surely, 2^102022101020 is an apocalyptic number.

102022101020 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 102022101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131795693568).

102022101020 is an abundant number, since it is smaller than the sum of its proper divisors (161569286116).

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

102022101020 is a wasteful number, since it uses less digits than its factorization.

102022101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2498 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102022101020 its reverse (20101220201), we get a palindrome (122123321221).

The spelling of 102022101020 in words is "one hundred two billion, twenty-two million, one hundred one thousand, twenty".