102101011201010 has 16 divisors (see below), whose sum is σ = 183781935250200. Its totient is φ = 40840378905216.

The previous prime is 102101011200983. The next prime is 102101011201031. The reversal of 102101011201010 is 10102110101201.

It can be written as a sum of positive squares in 4 ways, for example, as 21883319117521 + 80217692083489 = 4677961^2 + 8956433^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102101011200982 and 102101011201000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29317286 + ... + 32614494.

Almost surely, 2^{102101011201010} is an apocalyptic number.

102101011201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102101011201010 is a deficient number, since it is larger than the sum of its proper divisors (81680924049190).

102101011201010 is a wasteful number, since it uses less digits than its factorization.

102101011201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393805.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102101011201010 its reverse (10102110101201), we get a palindrome (112203121302211).

The spelling of 102101011201010 in words is "one hundred two trillion, one hundred one billion, eleven million, two hundred one thousand, ten".