101020120222021 has 192 divisors, whose sum is σ = 144711034030080. Its totient is φ = 68017222909440.

The previous prime is 101020120221997. The next prime is 101020120222031. The reversal of 101020120222021 is 120222021020101.

It is a happy number.

It is not a de Polignac number, because 101020120222021 - 2¹⁵ = 101020120189253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101020120221986 and 101020120222004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020120222031) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6861374166 + ... + 6861388888.

It is an arithmetic number, because the mean of its divisors is an integer number (753703302240).

Almost surely, 2^{101020120222021} is an apocalyptic number.

101020120222021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101020120222021 is a deficient number, since it is larger than the sum of its proper divisors (43690913808059).

101020120222021 is a wasteful number, since it uses less digits than its factorization.

101020120222021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14984 (or 14937 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101020120222021 its reverse (120222021020101), we get a palindrome (221242141242122).

The spelling of 101020120222021 in words is "one hundred one trillion, twenty billion, one hundred twenty million, two hundred twenty-two thousand, twenty-one".